Question 1¶

Pick an online or physical network (choose one with ~1k-10k nodes). See Datasets (Module 1). Submit code or link of code.
Provide a good visualization of your network.
Find the characteristics of your network (centralities).
Answer additional questions:

- How does your network cluster? 
- What structural properties can you detect? 
- How many of these relations would you consider “strong”? 


Some ideas: #Nodes, #Edges, Diameter, Isolated nodes, Density, Max degree, Min degree, Average degree, Size of largest components, Number of connected components, degree of assortativity etc.

Dataset : roadNet-CA.txt¶

Link : roadNet-CA.txt

Dataset consists of network of roads in California. It is an undirected graph (one way roads are avoided).
Nodes represent the Intersections and endpoints of roads.
Edges represent road intersections.

Only first N lines in the txt file of dataset are used for this activity

image

In [1]:
import networkx as nx
import matplotlib.pyplot as plt
import pandas as pd
In [2]:
# Importing data (Only first N lines in the txt file of dataset are used for this activity)

N = 3000

# Read the space-separated text file
with open('roadNet-CA.txt', 'r') as file:
    lines = file.readlines()


lines = lines[:N]
In [3]:
# printing the last line mentioned in the txt file of dataset
lines[-1]
Out[3]:
'12608\t12604\n'

Import Data¶

In [4]:
# Initialize a graph
"""
There are errors while parsing the txt file due to newlines , tabs , whitespaces etc. 
In such cases a ValueError is raised. 
The output of this cell returns the line in txt file that raises the ValueError.
"""

G = nx.Graph()

try : 
    for idx, line in enumerate(lines):



        # Split space-separated values
        node1, node2 = map(int, line.rstrip().split("\t"))

        G.add_edge(node1, node2)

except ValueError :
    print("Exception occured at : ",node1 , node2)
In [5]:
plt.figure(figsize=(40,28))


nx.draw(G, pos = nx.nx_pydot.graphviz_layout(G), node_size=1200, node_color='lightblue', linewidths=0.25,font_size=10, with_labels=True)

plt.show()
In [6]:
#Kamada Kawai
plt.figure(figsize=(20,14))
nx.draw_kamada_kawai(G , with_labels=True,node_size=1200,linewidths=0.25,font_size=10)


# nx.draw(G, pos = nx.nx_pydot.graphviz_layout(G), \
#     node_size=1200, node_color='lightblue', linewidths=0.25, \
#     font_size=10, with_labels=True)
plt.title("Kamada Kawai")
Out[6]:
Text(0.5, 1.0, 'Kamada Kawai')

Graph Statistics¶

In [7]:
# Now G contains the filtered graph. You can print or visualize it.
print("Nodes:", G.nodes())
print("Edges:", G.edges())

print(f"Total number of nodes : {len(G.nodes())}")
print(f"Total number of edges : {len(G.edges())}")
Nodes: [0, 1, 2, 469, 6, 385, 3, 380, 37415, 5, 384, 386, 4, 419, 422, 98, 420, 35698, 183, 423, 470, 35729, 35709, 7, 8, 9, 79, 33, 10, 84, 78, 119, 32, 34, 11, 110, 83, 85, 12, 111, 112, 13, 95, 108, 14, 94, 109, 113, 123, 96, 15, 16, 77, 93, 17, 18, 3254, 19, 3255, 36971, 20, 23, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 3247, 3253, 35943, 3246, 3248, 3249, 3204, 35950, 2203, 3252, 3257, 2146, 2204, 35, 36, 50, 1199, 37, 35885, 1645159, 49, 185, 1198, 1205, 38, 1641586, 35884, 1645157, 1645156, 1648644, 39, 1633418, 40, 1641587, 41, 1641577, 1641576, 1641606, 42, 1641355, 1641363, 43, 1639779, 1628954, 1639780, 44, 45, 1542024, 46, 1154, 1538392, 1542023, 1639781, 47, 27108, 27325, 1153, 1155, 1538362, 1538390, 1538391, 48, 27107, 27250, 27323, 27335, 27343, 184, 27342, 35887, 39411, 35886, 52, 53, 54, 4152, 223, 225, 4120, 4148, 4153, 4156, 224, 3937, 4113, 4114, 4154, 55, 56, 57, 1068, 1099, 76, 1069, 58, 1071, 1072, 1096, 1116, 36235, 74, 1075, 59, 1089, 32419, 1070, 1098, 1110, 60, 61, 62, 171, 172, 63, 64, 339, 65, 2220, 338, 341, 36187, 66, 2155, 2157, 2219, 2221, 67, 68, 2254, 2156, 2158, 2161, 69, 70, 2251, 2252, 71, 1052, 72, 1049, 1050, 2256, 2258, 73, 1048, 75, 1073, 1076, 80, 455, 81, 105, 454, 116, 118, 342, 82, 104, 107, 124, 114, 86, 87, 88, 128, 315, 97, 134, 89, 146, 129, 452, 135, 316, 90, 91, 92, 133, 132, 139, 410, 471, 35881, 35728, 99, 100, 101, 136, 6790, 103, 137, 6760, 102, 6771, 421, 6792, 6805, 6791, 6802, 6713, 6748, 6764, 6757, 6733, 6738, 6772, 6722, 6734, 6736, 6737, 6765, 6711, 6714, 6717, 6747, 6759, 106, 151, 150, 152, 115, 117, 120, 169, 122, 121, 170, 36184, 453, 340, 36185, 125, 126, 127, 176, 355, 383, 354, 353, 443, 381, 153, 155, 37498, 356, 358, 442, 130, 154, 444, 145, 41762, 131, 359, 36966, 41761, 138, 387, 6770, 6793, 6797, 6763, 6766, 388, 140, 141, 142, 391, 389, 392, 390, 143, 144, 177, 178, 186, 187, 41763, 147, 148, 149, 166, 167, 168, 317, 162, 36963, 303, 318, 357, 156, 157, 158, 1057, 175, 1093, 159, 1058, 173, 160, 1056, 161, 36965, 1055, 36964, 163, 164, 165, 174, 314, 179, 180, 181, 425, 42066, 379, 434, 182, 426, 35695, 424, 42067, 42074, 435, 460, 42076, 35699, 35696, 35703, 35746, 35890, 35891, 35892, 35895, 312, 41764, 188, 189, 190, 369, 191, 193, 351, 367, 368, 441, 360, 440, 192, 195, 461, 350, 371, 194, 201, 203, 375, 202, 352, 462, 373, 374, 42079, 196, 197, 198, 7178, 200, 23401, 199, 15697, 7176, 7179, 503, 24015, 7332, 15686, 205, 372, 204, 206, 213, 209, 207, 433, 211, 212, 208, 344, 432, 260, 343, 210, 235, 227, 230, 236, 41752, 370, 41755, 229, 261, 226, 234, 214, 215, 216, 309, 308, 310, 311, 313, 307, 36178, 217, 218, 222, 7925, 219, 7923, 221, 4895, 4899, 7926, 220, 7922, 7924, 7931, 7921, 7901, 7918, 7932, 7937, 7881, 7888, 7882, 7887, 4896, 4898, 7927, 43222, 4109, 4110, 3940, 3938, 4100, 4096, 4099, 4117, 4149, 228, 251, 255, 273, 233, 254, 259, 42078, 231, 232, 289, 245, 276, 288, 250, 244, 246, 247, 274, 275, 277, 278, 41753, 41754, 243, 248, 237, 238, 239, 3930, 241, 3295, 240, 3271, 3889, 3931, 3292, 3296, 4080, 3276, 3272, 3888, 3890, 3275, 3277, 3291, 242, 36218, 253, 249, 36219, 252, 1159, 1158, 256, 257, 258, 272, 35850, 42587, 271, 35851, 36974, 42588, 42586, 36975, 42077, 262, 263, 264, 549, 550, 265, 267, 548, 279, 36211, 525, 36210, 266, 268, 1918, 269, 290, 297, 1919, 36987, 270, 42585, 291, 327, 1920, 296, 42583, 301, 42582, 280, 281, 282, 35769, 285, 42598, 283, 286, 35773, 35768, 35852, 284, 35845, 35846, 35841, 35854, 42600, 287, 35772, 35775, 35847, 35844, 35771, 35774, 42570, 35848, 36212, 36215, 292, 293, 480, 294, 35805, 479, 295, 35795, 35796, 35797, 35799, 35770, 42584, 298, 299, 300, 35863, 302, 304, 305, 1092, 306, 1103, 1156, 1090, 1100, 1143, 1101, 1124, 1157, 1165, 319, 320, 321, 322, 323, 326, 3481, 324, 325, 3479, 3430, 3432, 4173, 4175, 3434, 3431, 3475, 3480, 4181, 3482, 3369, 3429, 3415, 3427, 3416, 3474, 3476, 3424, 4178, 4174, 4179, 4182, 4132, 36979, 36980, 328, 329, 330, 40094, 11435, 12041, 11433, 11434, 12022, 12058, 331, 332, 333, 35734, 404, 36967, 35731, 35735, 405, 334, 335, 337, 336, 12138, 12176, 12175, 12202, 12032, 12033, 36186, 2202, 42082, 42081, 42594, 42595, 345, 346, 347, 3294, 349, 3290, 3338, 348, 3285, 3339, 3293, 3319, 3284, 3286, 3314, 3340, 3347, 36261, 382, 361, 362, 363, 41760, 364, 41759, 365, 366, 41758, 41756, 41757, 42597, 376, 377, 378, 16472, 12226, 12227, 12230, 12247, 1176, 37523, 12225, 16399, 12228, 12229, 12231, 12248, 37522, 393, 468, 394, 395, 396, 7162, 399, 42094, 397, 7163, 7184, 7186, 398, 457, 42329, 3263, 3261, 3264, 21184, 3262, 20839, 456, 459, 20849, 41945, 400, 401, 403, 592, 402, 41613, 450, 591, 2661, 445, 2625, 42211, 446, 40748, 449, 451, 411, 472, 36193, 406, 407, 408, 6024, 409, 6025, 36209, 6300, 6048, 5636, 6301, 6049, 36224, 6302, 5637, 5638, 473, 35717, 412, 413, 414, 683, 418, 755, 7795, 415, 682, 677, 699, 417, 7794, 756, 758, 7793, 7792, 416, 681, 1025, 1024, 7757, 1023, 7756, 7755, 7787, 35405, 35710, 6769, 6794, 6798, 427, 35747, 42052, 35748, 35749, 42058, 42053, 42054, 428, 429, 430, 7190, 40005, 431, 12629, 40022, 5927, 5970, 611, 7156, 40006, 5925, 6855, 40015, 40017, 40023, 5928, 5929, 5971, 7130, 5926, 436, 437, 439, 23898, 438, 33468, 20655, 23896, 23897, 40853, 15713, 33467, 33469, 39690, 39962, 15712, 15714, 40848, 39978, 447, 2648, 40749, 42208, 448, 2647, 2649, 2646, 2934, 2938, 2652, 458, 21970, 20811, 20812, 21121, 20869, 21969, 20848, 21122, 41944, 42092, 20813, 20772, 20803, 42073, 42596, 463, 464, 467, 20571, 465, 5314, 5315, 466, 20718, 25505, 20572, 20576, 20725, 40105, 41916, 5312, 42134, 5313, 41917, 40104, 40110, 20554, 20716, 20723, 20534, 20556, 35739, 474, 475, 476, 1594983, 478, 477, 36977, 36986, 1594984, 1610675, 36978, 1594985, 35803, 36976, 35800, 35809, 35818, 481, 482, 507, 483, 506, 21548, 484, 4074, 5805, 485, 4040, 4041, 5937, 486, 4039, 487, 5809, 488, 489, 5807, 5943, 490, 5808, 491, 5951, 492, 4077, 5948, 493, 4076, 4075, 5954, 494, 7131, 5813, 495, 7133, 7132, 7152, 496, 7154, 497, 7145, 7153, 7161, 7206, 498, 7142, 7146, 7207, 499, 7141, 500, 501, 502, 7164, 7165, 23431, 7144, 7166, 7180, 504, 505, 4044, 24013, 24012, 21549, 24014, 509, 510, 511, 6685, 513, 6681, 512, 6684, 6696, 6679, 6699, 6616, 6621, 6682, 6604, 6683, 6700, 6963, 6953, 6605, 6606, 6620, 6893, 514, 515, 516, 1119, 5892, 1120, 5883, 5884, 5894, 1118, 5890, 5896, 5902, 5874, 5882, 5893, 5862, 5854, 5864, 517, 518, 519, 8146, 520, 8154, 8155, 8145, 8153, 8137, 8147, 8156, 8152, 8157, 8124, 8148, 8151, 521, 522, 36982, 36992, 523, 36983, 36991, 36993, 524, 526, 36201, 1166, 36200, 36202, 1167, 527, 528, 529, 532, 531, 534, 5432, 530, 5418, 533, 5444, 5449, 5421, 5422, 535, 5433, 5438, 5423, 5368, 5417, 5424, 5367, 5391, 5420, 5450, 5445, 5448, 5443, 5437, 5442, 7984, 5431, 5436, 5447, 536, 537, 541, 542, 538, 36981, 540, 543, 539, 36985, 1603443, 1603442, 36984, 1607299, 1594982, 1607298, 1593601, 544, 545, 546, 4371, 4373, 547, 4481, 4372, 4476, 4487, 4485, 4480, 4484, 551, 552, 553, 559, 555, 556, 554, 36197, 558, 560, 557, 1189, 36196, 36207, 561, 1187, 1190, 568, 2023, 2025, 37003, 2024, 37015, 37004, 37005, 573, 562, 563, 566, 567, 564, 37017, 565, 569, 37020, 37016, 37018, 37019, 579, 577, 578, 570, 571, 572, 589, 574, 580, 575, 587, 576, 588, 590, 581, 582, 583, 22099, 586, 584, 22098, 21926, 585, 944, 21927, 22151, 22105, 22107, 22113, 31944, 22108, 17398, 22106, 2575, 2653, 2935, 2660, 2671, 593, 596, 594, 595, 36021, 36020, 36017, 36022, 597, 598, 599, 6851, 7251, 7066, 6859, 6007, 7261, 7250, 7263, 7068, 7351, 6858, 7067, 600, 601, 603, 663, 3470, 602, 3484, 3498, 664, 665, 3469, 3473, 3494, 3452, 3478, 3497, 3504, 3453, 3439, 3451, 604, 605, 606, 676, 36183, 608, 607, 41826, 675, 695, 36179, 36182, 36190, 673, 41825, 41892, 672, 674, 692, 609, 610, 614, 40021, 6013, 613, 40010, 40020, 612, 7188, 6012, 6014, 40004, 7189, 7192, 40009, 615, 616, 617, 1494580, 624, 661, 618, 1494584, 623, 662, 109371, 619, 37031, 620, 36225, 37030, 37033, 1494587, 621, 836, 834, 622, 768, 109373, 109372, 139985, 625, 626, 648, 12653, 627, 639, 12794, 12654, 12655, 628, 629, 630, 12608, 631, 12604]
Edges: [(0, 1), (0, 2), (0, 469), (1, 6), (1, 385), (2, 3), (469, 380), (469, 37415), (6, 5), (385, 384), (385, 386), (3, 4), (3, 419), (3, 422), (380, 183), (380, 379), (37415, 422), (5, 4), (5, 98), (384, 383), (384, 468), (386, 387), (386, 331), (386, 36967), (4, 98), (4, 420), (419, 420), (419, 35698), (422, 183), (422, 423), (98, 470), (98, 35729), (420, 35709), (35698, 423), (35698, 35405), (35698, 35709), (183, 180), (183, 182), (423, 182), (470, 410), (470, 471), (470, 35881), (35729, 35728), (35729, 35881), (35709, 35710), (7, 8), (7, 9), (7, 79), (8, 33), (9, 10), (9, 84), (79, 78), (79, 119), (33, 32), (33, 34), (10, 11), (10, 84), (10, 110), (84, 83), (84, 85), (78, 80), (78, 455), (119, 116), (119, 118), (119, 342), (32, 31), (32, 2203), (11, 12), (11, 110), (110, 111), (110, 112), (83, 82), (83, 112), (12, 13), (12, 95), (12, 108), (111, 112), (111, 109), (112, 114), (13, 14), (13, 94), (13, 95), (95, 96), (108, 109), (108, 113), (108, 123), (14, 15), (14, 16), (14, 77), (94, 77), (94, 93), (109, 113), (113, 82), (123, 97), (123, 124), (96, 97), (16, 17), (77, 17), (93, 92), (93, 133), (17, 18), (17, 3254), (18, 19), (18, 3254), (3254, 3255), (3254, 36971), (19, 20), (19, 23), (3255, 29), (3255, 3253), (3255, 35943), (20, 21), (20, 22), (23, 24), (23, 25), (25, 26), (25, 27), (27, 28), (27, 29), (29, 30), (30, 31), (30, 3247), (30, 3253), (31, 3246), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 2203), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35, 36), (35, 50), (35, 1199), (36, 37), (36, 35885), (36, 1645159), (50, 49), (50, 185), (1199, 1198), (1199, 1205), (37, 38), (37, 1641586), (35885, 35884), (35885, 1645157), (1645159, 1645156), (1645159, 1645157), (1645159, 1648644), (49, 48), (49, 184), (185, 184), (185, 1198), (1198, 1205), (1198, 35895), (38, 39), (38, 1641586), (1641586, 1633418), (39, 40), (39, 1641587), (1633418, 1641587), (40, 41), (40, 1641577), (1641587, 1641576), (1641587, 1641606), (41, 42), (41, 1641355), (1641577, 1641363), (1641577, 1641576), (42, 43), (42, 1639779), (1641355, 1628954), (1641355, 1639780), (1641355, 1641363), (43, 44), (43, 1639779), (1639779, 1639780), (44, 45), (44, 1542024), (45, 46), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 47), (46, 27108), (46, 27325), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (47, 48), (47, 27325), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (52, 53), (52, 54), (52, 4152), (53, 54), (53, 223), (53, 225), (54, 4120), (4152, 4148), (4152, 4153), (4152, 4156), (223, 224), (223, 3937), (223, 4113), (225, 224), (225, 4114), (225, 4148), (4120, 3937), (4120, 4153), (4120, 4154), (4148, 4117), (4148, 4149), (224, 4109), (224, 4110), (3937, 3938), (3937, 3940), (4113, 3940), (4113, 4110), (4114, 4109), (4114, 4099), (4114, 4117), (55, 56), (55, 57), (55, 1068), (55, 1099), (56, 76), (56, 1069), (57, 58), (57, 1071), (57, 1072), (1068, 1069), (1068, 1096), (1068, 1116), (1068, 36235), (76, 74), (76, 1075), (1069, 1116), (58, 59), (58, 1089), (58, 32419), (1071, 1070), (1071, 1098), (1071, 1110), (1072, 1070), (1072, 32419), (74, 72), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (59, 62), (1089, 62), (1089, 171), (1089, 172), (1070, 1093), (62, 63), (171, 120), (171, 121), (171, 172), (172, 173), (63, 64), (63, 339), (64, 65), (64, 2220), (339, 338), (339, 341), (339, 36187), (65, 66), (65, 2155), (65, 2157), (2220, 2219), (2220, 2221), (338, 342), (338, 340), (338, 36186), (341, 340), (341, 2202), (66, 67), (66, 68), (66, 2254), (2155, 2156), (2155, 2254), (2157, 2158), (2157, 2161), (2157, 2219), (68, 69), (68, 70), (68, 2251), (2254, 2252), (70, 71), (70, 1052), (70, 2251), (2251, 2252), (71, 72), (71, 1049), (1052, 1050), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (1049, 1050), (80, 81), (455, 105), (455, 454), (81, 82), (81, 104), (105, 104), (105, 106), (454, 151), (454, 117), (454, 453), (116, 115), (116, 122), (118, 117), (118, 453), (342, 340), (342, 36185), (104, 107), (104, 124), (107, 106), (107, 124), (107, 135), (86, 87), (86, 88), (86, 128), (86, 315), (87, 97), (87, 134), (88, 89), (88, 128), (128, 129), (128, 452), (315, 146), (97, 134), (134, 135), (134, 316), (89, 90), (89, 91), (146, 143), (146, 145), (129, 130), (129, 154), (129, 444), (452, 145), (452, 41762), (135, 106), (135, 316), (316, 150), (91, 92), (133, 132), (133, 139), (132, 130), (132, 138), (139, 138), (139, 387), (410, 405), (410, 411), (410, 472), (471, 472), (35881, 35739), (99, 100), (99, 101), (99, 136), (99, 6790), (100, 103), (100, 137), (100, 6760), (101, 102), (101, 6771), (101, 6790), (136, 137), (136, 421), (136, 6792), (136, 6805), (6790, 6791), (6790, 6792), (6790, 6802), (103, 102), (103, 6713), (103, 6748), (137, 421), (137, 6764), (6760, 6748), (6760, 6757), 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3452), (3484, 3478), (3484, 3497), (3484, 3498), (3498, 3494), (3498, 3504), (664, 665), (664, 3439), (664, 3451), (3452, 3453), (604, 605), (604, 606), (604, 676), (604, 36183), (605, 608), (606, 607), (606, 41826), (676, 675), (676, 695), (676, 36179), (36183, 36179), (36183, 36182), (36183, 36190), (608, 607), (608, 675), (607, 673), (41826, 41825), (41826, 41892), (675, 672), (675, 692), (673, 672), (673, 674), (609, 610), (609, 614), (609, 40021), (610, 6013), (614, 613), (614, 40010), (40021, 40020), (6013, 6012), (6013, 6014), (613, 612), (613, 40010), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (615, 616), (615, 617), (615, 1494580), (616, 624), (616, 661), (617, 618), (1494580, 661), (1494580, 1494584), (624, 623), (624, 662), (661, 662), (661, 109371), (618, 619), (618, 37031), (623, 622), (662, 109372), (662, 139985), (619, 620), (619, 36225), (37031, 37030), (37031, 37033), (37031, 1494587), (620, 621), (620, 836), (36225, 834), (621, 622), (836, 768), (836, 834), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
Total number of nodes : 1410
Total number of edges : 1763
In [8]:
nx.is_connected(G) # Check whether the graph is fully connected 
Out[8]:
False
In [9]:
# Computes subgraphs and stores them in a list
S = [G.subgraph(c).copy() for c in nx.connected_components(G)]
In [10]:
# Print subgraphs and its statistics
for graph_idx, graph in enumerate(S) : 
    print("-"*20,f"Graph {graph_idx}", "-"*20)


    plt.figure(figsize=(20,14))
    nx.draw(S[graph_idx], pos = nx.nx_pydot.graphviz_layout(S[graph_idx]), node_size=1200, node_color='lightblue', linewidths=0.25,font_size=10, with_labels=True)
    plt.show()

    print("-"*10,"Graph Stats ", "-"*10)

    num_edges = graph.number_of_edges()
    num_nodes = graph.number_of_nodes()

    print(f"Nodes : {num_nodes} Edges : {num_nodes}")
    
    print(f"Diameter : {nx.diameter(graph)}") # Diameter

    print(f"Periphery : {nx.periphery(graph)}") # Periphery 

    degrees = [graph.degree(n) for n in graph.nodes()]
    plt.hist(degrees)

    # Density
    density = nx.density(graph)
    print(f"Density of the graph: {density}")


    # Max and Min degree
    degrees = dict(graph.degree())
    max_degree = max(degrees.values())
    min_degree = min(degrees.values())


    # Average degree 
    avg_degree = (2 * num_edges) / num_nodes
    print(f"Average degree: {avg_degree}")

    # Number of connected components

    connected_components = list(nx.connected_components(graph)) 
    largest_component_size = max(len(c) for c in connected_components) # Find the size of the largest connected component
    print(f"Size of the largest connected component: {largest_component_size}")

    # Degree assortativity
    assortativity = nx.degree_assortativity_coefficient(graph)
    print(f"Degree assortativity coefficient: {assortativity}")



    # Degree Centrality
    deg_centrality=nx.degree_centrality(graph)
    res = {key : round(deg_centrality[key], 3) for key in deg_centrality}
    df=pd.DataFrame(res.items(), columns=["Node", "Degree Centrality"])
    print(df.sort_values('Degree Centrality',ascending=False))

    # Closeness Centrality
    Closeness_centrality=nx.closeness_centrality(graph)
    res = {key : round(Closeness_centrality[key], 3) for key in Closeness_centrality}
    df=pd.DataFrame(res.items(), columns=["Node", "Closeness Centrality"])
    print(df.sort_values('Closeness Centrality',ascending=False))

    # Between Centrality
    Betweenness_centrality=nx.betweenness_centrality(graph)
    res = {key : round(Betweenness_centrality[key], 3) for key in Betweenness_centrality}
    df=pd.DataFrame(res.items(), columns=["Node", "Betweenness Centrality"])
    print(df.sort_values('Betweenness Centrality',ascending=False))

    # Katz Centrality
    Katz_centrality=nx.katz_centrality(graph,alpha=0.05, beta=1.0, max_iter=1000, tol=1e-02, nstart=None, normalized=True, weight=None)
    res = {key : round(Katz_centrality[key], 3) for key in Katz_centrality}
    df=pd.DataFrame(res.items(), columns=["Node", "Katz Centrality"])
    print(df.sort_values('Katz Centrality',ascending=False))

    # Bridges
    print("Bridges in Graph : ", list(nx.bridges(G)))
    
    

    plt.show()
    print("-"*50)
-------------------- Graph 0 --------------------
---------- Graph Stats  ----------
Nodes : 591 Edges : 591
Diameter : 45
Periphery : [2256, 2258, 35774, 35848, 42570]
Density of the graph: 0.004468152226906421
Average degree: 2.6362098138747885
Size of the largest connected component: 591
Degree assortativity coefficient: -0.07240299819279103
        Node  Degree Centrality
475     1068              0.008
105      125              0.008
131      151              0.007
159      179              0.007
362      470              0.007
..       ...                ...
80     36963              0.002
448    35797              0.002
449    35799              0.002
450    35800              0.002
590  1593601              0.002

[591 rows x 2 columns]
        Node  Closeness Centrality
109      129                 0.077
168      190                 0.076
169      191                 0.076
312      371                 0.076
183      210                 0.076
..       ...                   ...
190     2256                 0.040
191     2258                 0.040
569  1607299                 0.040
579    36984                 0.039
466     1048                 0.039

[591 rows x 2 columns]
        Node  Betweenness Centrality
264      303                   0.222
266      305                   0.211
263      302                   0.203
185      212                   0.189
224      263                   0.182
..       ...                     ...
464    35854                   0.000
236      275                   0.000
466     1048                   0.000
235      274                   0.000
590  1593601                   0.000

[591 rows x 2 columns]
        Node  Katz Centrality
105      125            0.046
475     1068            0.046
294      353            0.044
108      128            0.044
109      129            0.044
..       ...              ...
455    35841            0.038
456    35844            0.038
65        85            0.038
460    35848            0.038
590  1593601            0.038

[591 rows x 2 columns]
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 1 --------------------
---------- Graph Stats  ----------
Nodes : 63 Edges : 63
Diameter : 13
Periphery : [1628954, 35890, 35891, 35892]
Density of the graph: 0.03789042498719918
Average degree: 2.3492063492063493
Size of the largest connected component: 63
Degree assortativity coefficient: -0.47263681592039875
       Node  Degree Centrality
22     1198              0.065
28    35886              0.065
43    27343              0.065
60  1641587              0.065
48       45              0.065
..      ...                ...
39  1538362              0.016
40    27335              0.016
41    35887              0.016
42    27342              0.016
62    27250              0.016

[63 rows x 2 columns]
       Node  Closeness Centrality
24       48                 0.207
30       46                 0.206
25       49                 0.206
27       47                 0.206
48       45                 0.202
..      ...                   ...
36    35892                 0.134
35    35891                 0.134
34    35890                 0.134
10  1628954                 0.133
4   1641606                 0.133

[63 rows x 2 columns]
       Node  Betweenness Centrality
48       45                   0.380
24       48                   0.368
30       46                   0.348
25       49                   0.334
12       36                   0.321
..      ...                     ...
38    27323                   0.000
39  1538362                   0.000
40    27335                   0.000
41    35887                   0.000
62    27250                   0.000

[63 rows x 2 columns]
       Node  Katz Centrality
12       36            0.137
48       45            0.137
30       46            0.137
22     1198            0.136
37    27325            0.136
..      ...              ...
39  1538362            0.117
40    27335            0.117
41    35887            0.117
42    27342            0.117
62    27250            0.117

[63 rows x 2 columns]
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 2 --------------------
---------- Graph Stats  ----------
Nodes : 24 Edges : 24
Diameter : 6
Periphery : [4096, 4099, 4100, 4117, 4149, 4154, 4153, 4156, 3938, 3940]
Density of the graph: 0.11594202898550725
Average degree: 2.6666666666666665
Size of the largest connected component: 24
Degree assortativity coefficient: -0.24242424242424243
    Node  Degree Centrality
12  4148              0.174
21  3937              0.174
6   4114              0.174
20   225              0.174
8   4120              0.174
10    53              0.174
19   224              0.174
13  4152              0.174
18   223              0.174
3   4109              0.130
4   4110              0.130
5   4113              0.130
9     52              0.130
11    54              0.130
16  4153              0.087
23  3940              0.087
7   4117              0.087
15  4154              0.043
17  4156              0.043
14  4149              0.043
1   4099              0.043
2   4100              0.043
22  3938              0.043
0   4096              0.043
    Node  Closeness Centrality
20   225                 0.418
10    53                 0.411
19   224                 0.404
18   223                 0.404
12  4148                 0.359
13  4152                 0.354
21  3937                 0.348
8   4120                 0.348
9     52                 0.348
11    54                 0.348
6   4114                 0.333
3   4109                 0.324
4   4110                 0.315
5   4113                 0.315
16  4153                 0.311
7   4117                 0.295
23  3940                 0.280
14  4149                 0.267
17  4156                 0.264
15  4154                 0.261
22  3938                 0.261
1   4099                 0.253
2   4100                 0.247
0   4096                 0.242
    Node  Betweenness Centrality
20   225                   0.276
19   224                   0.272
18   223                   0.241
12  4148                   0.215
21  3937                   0.205
13  4152                   0.176
10    53                   0.173
8   4120                   0.172
6   4114                   0.156
3   4109                   0.121
4   4110                   0.110
16  4153                   0.071
5   4113                   0.071
11    54                   0.047
9     52                   0.039
7   4117                   0.032
23  3940                   0.022
17  4156                   0.000
15  4154                   0.000
14  4149                   0.000
1   4099                   0.000
2   4100                   0.000
22  3938                   0.000
0   4096                   0.000
    Node  Katz Centrality
20   225            0.219
18   223            0.219
10    53            0.218
19   224            0.218
12  4148            0.217
21  3937            0.217
6   4114            0.216
8   4120            0.216
13  4152            0.216
9     52            0.208
11    54            0.208
3   4109            0.207
5   4113            0.207
4   4110            0.206
16  4153            0.197
23  3940            0.197
7   4117            0.197
15  4154            0.187
17  4156            0.187
14  4149            0.187
1   4099            0.187
22  3938            0.187
2   4100            0.186
0   4096            0.186
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 3 --------------------
---------- Graph Stats  ----------
Nodes : 40 Edges : 40
Diameter : 8
Periphery : [6794, 6798, 6722, 6736, 6737, 6765, 6769]
Density of the graph: 0.07051282051282051
Average degree: 2.75
Size of the largest connected component: 40
Degree assortativity coefficient: -0.42708873897249455
    Node  Degree Centrality
21  6738              0.154
0   6790              0.128
2    136              0.128
5   6793              0.128
13  6713              0.128
28   103              0.103
24    99              0.103
17  6733              0.103
25   100              0.103
26   101              0.103
27   102              0.103
10  6805              0.103
11   421              0.103
29  6760              0.103
33  6764              0.103
38  6771              0.103
4   6792              0.103
3    137              0.103
23  6748              0.103
37  6770              0.077
39  6772              0.051
1   6791              0.051
19  6736              0.051
18  6734              0.051
9   6802              0.051
32  6763              0.026
6   6794              0.026
7   6797              0.026
36  6769              0.026
35  6766              0.026
34  6765              0.026
8   6798              0.026
30  6757              0.026
31  6759              0.026
22  6747              0.026
12  6711              0.026
14  6714              0.026
15  6717              0.026
16  6722              0.026
20  6737              0.026
    Node  Closeness Centrality
25   100                 0.358
28   103                 0.345
24    99                 0.342
3    137                 0.325
26   101                 0.325
27   102                 0.325
2    136                 0.312
0   6790                 0.300
29  6760                 0.293
23  6748                 0.285
11   421                 0.285
13  6713                 0.279
4   6792                 0.277
33  6764                 0.271
38  6771                 0.267
21  6738                 0.267
17  6733                 0.264
10  6805                 0.262
9   6802                 0.253
1   6791                 0.250
5   6793                 0.242
18  6734                 0.242
37  6770                 0.232
39  6772                 0.232
30  6757                 0.228
19  6736                 0.224
22  6747                 0.223
31  6759                 0.223
15  6717                 0.219
14  6714                 0.219
12  6711                 0.219
32  6763                 0.214
35  6766                 0.214
34  6765                 0.212
20  6737                 0.212
16  6722                 0.210
7   6797                 0.209
8   6798                 0.196
6   6794                 0.196
36  6769                 0.189
    Node  Betweenness Centrality
28   103                   0.349
25   100                   0.275
27   102                   0.261
3    137                   0.225
13  6713                   0.176
26   101                   0.172
24    99                   0.168
11   421                   0.166
2    136                   0.161
21  6738                   0.161
29  6760                   0.144
23  6748                   0.138
33  6764                   0.126
0   6790                   0.117
5   6793                   0.112
10  6805                   0.101
17  6733                   0.090
38  6771                   0.076
4   6792                   0.071
37  6770                   0.051
1   6791                   0.017
18  6734                   0.016
19  6736                   0.010
34  6765                   0.000
32  6763                   0.000
31  6759                   0.000
35  6766                   0.000
30  6757                   0.000
36  6769                   0.000
20  6737                   0.000
22  6747                   0.000
16  6722                   0.000
15  6717                   0.000
14  6714                   0.000
12  6711                   0.000
9   6802                   0.000
8   6798                   0.000
7   6797                   0.000
6   6794                   0.000
39  6772                   0.000
    Node  Katz Centrality
21  6738            0.181
2    136            0.177
0   6790            0.175
5   6793            0.174
13  6713            0.173
28   103            0.169
3    137            0.169
24    99            0.169
25   100            0.169
26   101            0.169
27   102            0.169
11   421            0.169
10  6805            0.168
38  6771            0.168
4   6792            0.168
29  6760            0.167
33  6764            0.166
17  6733            0.166
23  6748            0.166
37  6770            0.159
39  6772            0.152
1   6791            0.152
9   6802            0.152
19  6736            0.152
18  6734            0.152
6   6794            0.144
34  6765            0.144
8   6798            0.144
20  6737            0.144
12  6711            0.144
14  6714            0.144
15  6717            0.144
22  6747            0.143
31  6759            0.143
32  6763            0.143
35  6766            0.143
36  6769            0.143
7   6797            0.143
16  6722            0.143
30  6757            0.143
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 4 --------------------
---------- Graph Stats  ----------
Nodes : 121 Edges : 121
Diameter : 25
Periphery : [7206, 40009, 40020, 7153, 7161]
Density of the graph: 0.020523415977961434
Average degree: 2.4628099173553717
Size of the largest connected component: 121
Degree assortativity coefficient: -0.20686639974227827
      Node  Degree Centrality
119    501              0.042
32    7154              0.042
26     611              0.033
102   4077              0.033
47    7165              0.033
..     ...                ...
86    7130              0.008
54    5937              0.008
23   40023              0.008
97     488              0.008
0     7176              0.008

[121 rows x 2 columns]
      Node  Closeness Centrality
91     482                 0.131
90     481                 0.126
50    5926                 0.125
92     483                 0.125
116    507                 0.123
..     ...                   ...
65    6012                 0.071
59   15686                 0.071
67    6014                 0.071
16   40009                 0.067
20   40020                 0.067

[121 rows x 2 columns]
     Node  Betweenness Centrality
91    482                   0.537
50   5926                   0.448
49   5925                   0.430
73    431                   0.428
116   507                   0.340
..    ...                     ...
86   7130                   0.000
33   7332                   0.000
31   7153                   0.000
30   7146                   0.000
0    7176                   0.000

[121 rows x 2 columns]
     Node  Katz Centrality
119   501            0.103
32   7154            0.101
71    429            0.099
72    430            0.099
47   7165            0.099
..    ...              ...
65   6012            0.084
34   5805            0.084
33   7332            0.084
97    488            0.084
0    7176            0.084

[121 rows x 2 columns]
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 5 --------------------
---------- Graph Stats  ----------
Nodes : 27 Edges : 27
Diameter : 7
Periphery : [4896, 4898, 7881, 7882, 7887, 7888, 43222, 7921, 7924, 7927]
Density of the graph: 0.08831908831908832
Average degree: 2.2962962962962963
Size of the largest connected component: 27
Degree assortativity coefficient: -0.16279069767441873
     Node  Degree Centrality
16    222              0.192
14    221              0.154
23   7926              0.154
17   7918              0.154
15   7901              0.154
13    220              0.115
25   7931              0.115
4    4899              0.115
20   7923              0.115
19   7922              0.115
10    217              0.115
11    218              0.115
12    219              0.115
1    4895              0.115
26   7932              0.077
9   43222              0.038
8    7888              0.038
7    7887              0.038
18   7921              0.038
6    7882              0.038
5    7881              0.038
21   7924              0.038
22   7925              0.038
3    4898              0.038
24   7927              0.038
2    4896              0.038
0    7937              0.038
     Node  Closeness Centrality
14    221                 0.413
16    222                 0.406
13    220                 0.366
10    217                 0.347
17   7918                 0.325
15   7901                 0.325
1    4895                 0.321
12    219                 0.317
23   7926                 0.313
11    218                 0.313
4    4899                 0.310
25   7931                 0.292
26   7932                 0.277
22   7925                 0.260
19   7922                 0.257
20   7923                 0.255
8    7888                 0.248
7    7887                 0.248
6    7882                 0.248
5    7881                 0.248
2    4896                 0.245
9   43222                 0.241
24   7927                 0.241
3    4898                 0.239
0    7937                 0.228
18   7921                 0.206
21   7924                 0.205
     Node  Betweenness Centrality
16    222                   0.480
14    221                   0.452
13    220                   0.273
10    217                   0.223
15   7901                   0.194
12    219                   0.192
17   7918                   0.181
11    218                   0.177
23   7926                   0.151
1    4895                   0.122
19   7922                   0.105
20   7923                   0.102
25   7931                   0.098
4    4899                   0.077
26   7932                   0.018
9   43222                   0.000
8    7888                   0.000
7    7887                   0.000
18   7921                   0.000
6    7882                   0.000
5    7881                   0.000
21   7924                   0.000
22   7925                   0.000
3    4898                   0.000
24   7927                   0.000
2    4896                   0.000
0    7937                   0.000
     Node  Katz Centrality
16    222            0.220
14    221            0.211
23   7926            0.208
17   7918            0.208
15   7901            0.207
13    220            0.200
4    4899            0.200
1    4895            0.200
10    217            0.199
11    218            0.199
12    219            0.199
25   7931            0.198
20   7923            0.198
19   7922            0.198
26   7932            0.189
9   43222            0.180
8    7888            0.180
7    7887            0.180
6    7882            0.180
5    7881            0.180
24   7927            0.180
18   7921            0.179
21   7924            0.179
22   7925            0.179
3    4898            0.179
2    4896            0.179
0    7937            0.179
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 6 --------------------
---------- Graph Stats  ----------
Nodes : 38 Edges : 38
Diameter : 11
Periphery : [3888, 3890, 3272, 3284, 3286, 3931]
Density of the graph: 0.06970128022759602
Average degree: 2.5789473684210527
Size of the largest connected component: 38
Degree assortativity coefficient: -0.23213738117141988
     Node  Degree Centrality
21    346              0.135
32    239              0.135
1    3339              0.135
37   3319              0.108
11   3276              0.108
31    238              0.108
14   3285              0.108
27    347              0.108
24    349              0.108
22   3295              0.081
23   3296              0.081
26    348              0.081
25   3290              0.081
28   3294              0.081
30    237              0.081
33    240              0.081
34    241              0.081
20   3292              0.081
0    3338              0.081
18   3291              0.081
6    3889              0.081
16    345              0.081
8    3271              0.081
17   3930              0.081
36   3314              0.027
35   4080              0.027
2    3340              0.027
3    3347              0.027
4   36261              0.027
5    3888              0.027
7    3890              0.027
29   3293              0.027
9    3272              0.027
10   3275              0.027
12   3277              0.027
13   3284              0.027
15   3286              0.027
19   3931              0.027
     Node  Closeness Centrality
18   3291                 0.287
21    346                 0.282
23   3296                 0.282
0    3338                 0.278
20   3292                 0.274
24    349                 0.274
22   3295                 0.262
34    241                 0.255
31    238                 0.252
11   3276                 0.247
16    345                 0.240
1    3339                 0.239
26    348                 0.237
25   3290                 0.233
33    240                 0.231
32    239                 0.228
30    237                 0.219
27    347                 0.218
37   3319                 0.210
35   4080                 0.209
28   3294                 0.207
12   3277                 0.199
10   3275                 0.199
14   3285                 0.195
2    3340                 0.194
3    3347                 0.194
4   36261                 0.194
6    3889                 0.193
8    3271                 0.191
29   3293                 0.190
17   3930                 0.186
36   3314                 0.175
15   3286                 0.164
13   3284                 0.164
7    3890                 0.162
5    3888                 0.161
9    3272                 0.161
19   3931                 0.157
     Node  Betweenness Centrality
21    346                   0.337
31    238                   0.298
24    349                   0.298
22   3295                   0.291
23   3296                   0.286
18   3291                   0.272
32    239                   0.266
0    3338                   0.232
20   3292                   0.222
1    3339                   0.205
11   3276                   0.141
27    347                   0.118
14   3285                   0.116
16    345                   0.114
37   3319                   0.107
8    3271                   0.107
33    240                   0.093
34    241                   0.089
30    237                   0.087
26    348                   0.079
25   3290                   0.072
6    3889                   0.066
17   3930                   0.056
28   3294                   0.018
29   3293                   0.000
36   3314                   0.000
35   4080                   0.000
2    3340                   0.000
3    3347                   0.000
15   3286                   0.000
4   36261                   0.000
13   3284                   0.000
5    3888                   0.000
7    3890                   0.000
9    3272                   0.000
10   3275                   0.000
12   3277                   0.000
19   3931                   0.000
     Node  Katz Centrality
32    239            0.182
21    346            0.182
1    3339            0.180
24    349            0.175
37   3319            0.174
31    238            0.174
27    347            0.174
14   3285            0.173
11   3276            0.172
16    345            0.166
34    241            0.166
33    240            0.166
30    237            0.166
26    348            0.166
18   3291            0.166
0    3338            0.166
20   3292            0.165
22   3295            0.165
23   3296            0.165
25   3290            0.165
28   3294            0.165
6    3889            0.165
8    3271            0.164
17   3930            0.164
15   3286            0.149
5    3888            0.149
36   3314            0.149
35   4080            0.149
2    3340            0.149
3    3347            0.149
4   36261            0.149
7    3890            0.149
29   3293            0.149
9    3272            0.149
10   3275            0.149
12   3277            0.149
13   3284            0.149
19   3931            0.149
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 7 --------------------
---------- Graph Stats  ----------
Nodes : 2 Edges : 2
Diameter : 1
Periphery : [320, 319]
Density of the graph: 1.0
Average degree: 1.0
Size of the largest connected component: 2
Degree assortativity coefficient: nan
   Node  Degree Centrality
0   320                1.0
1   319                1.0
   Node  Closeness Centrality
0   320                   1.0
1   319                   1.0
   Node  Betweenness Centrality
0   320                     0.0
1   319                     0.0
   Node  Katz Centrality
0   320            0.707
1   319            0.707
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 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/Users/ha5hkat/SJSU/276/276-ML-on-Graphs/.venv/lib/python3.12/site-packages/networkx/algorithms/assortativity/correlation.py:302: RuntimeWarning: invalid value encountered in scalar divide
  return float((xy * (M - ab)).sum() / np.sqrt(vara * varb))
--------------------------------------------------
-------------------- Graph 8 --------------------
---------- Graph Stats  ----------
Nodes : 31 Edges : 31
Diameter : 7
Periphery : [3474, 3476, 4132, 3369, 4178, 4182, 3415, 3416, 3424, 3427, 3429]
Density of the graph: 0.09032258064516129
Average degree: 2.7096774193548385
Size of the largest connected component: 31
Degree assortativity coefficient: -0.21188630490956037
    Node  Degree Centrality
13   325              0.167
15  4173              0.133
20  4181              0.133
1   3475              0.133
14   326              0.133
12   324              0.133
11   323              0.133
10   322              0.133
9    321              0.133
27  3430              0.133
28  3431              0.133
4   3480              0.133
3   3479              0.133
29  3432              0.133
17  4175              0.133
5   3481              0.100
18  4178              0.067
19  4179              0.067
0   3474              0.067
16  4174              0.067
30  3434              0.067
8   3369              0.033
21  4182              0.033
22  3415              0.033
23  3416              0.033
24  3424              0.033
25  3427              0.033
26  3429              0.033
7   4132              0.033
6   3482              0.033
2   3476              0.033
    Node  Closeness Centrality
10   322                 0.385
9    321                 0.375
12   324                 0.366
11   323                 0.357
13   325                 0.353
14   326                 0.345
3   3479                 0.323
17  4175                 0.309
1   3475                 0.309
5   3481                 0.306
4   3480                 0.300
28  3431                 0.297
29  3432                 0.291
27  3430                 0.291
15  4173                 0.286
20  4181                 0.278
30  3434                 0.270
16  4174                 0.261
0   3474                 0.259
19  4179                 0.250
6   3482                 0.246
18  4178                 0.244
2   3476                 0.238
24  3424                 0.233
23  3416                 0.231
8   3369                 0.227
22  3415                 0.227
25  3427                 0.227
26  3429                 0.227
7   4132                 0.224
21  4182                 0.219
    Node  Betweenness Centrality
11   323                   0.305
13   325                   0.273
10   322                   0.261
9    321                   0.242
12   324                   0.236
3   3479                   0.175
14   326                   0.165
27  3430                   0.155
29  3432                   0.154
4   3480                   0.144
1   3475                   0.141
28  3431                   0.127
15  4173                   0.104
20  4181                   0.102
5   3481                   0.087
17  4175                   0.084
30  3434                   0.028
0   3474                   0.020
18  4178                   0.014
16  4174                   0.008
19  4179                   0.006
8   3369                   0.000
21  4182                   0.000
22  3415                   0.000
23  3416                   0.000
24  3424                   0.000
25  3427                   0.000
26  3429                   0.000
7   4132                   0.000
6   3482                   0.000
2   3476                   0.000
    Node  Katz Centrality
13   325            0.202
10   322            0.193
14   326            0.193
9    321            0.192
12   324            0.192
11   323            0.192
17  4175            0.191
3   3479            0.191
20  4181            0.190
28  3431            0.190
4   3480            0.190
1   3475            0.190
15  4173            0.190
27  3430            0.189
29  3432            0.189
5   3481            0.182
18  4178            0.173
19  4179            0.173
0   3474            0.173
16  4174            0.173
30  3434            0.173
21  4182            0.164
22  3415            0.164
23  3416            0.164
24  3424            0.164
25  3427            0.164
7   4132            0.164
6   3482            0.164
2   3476            0.164
8   3369            0.163
26  3429            0.163
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(2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 9 --------------------
---------- Graph Stats  ----------
Nodes : 20 Edges : 20
Diameter : 10
Periphery : [12032, 12033, 12058, 12022]
Density of the graph: 0.11052631578947368
Average degree: 2.1
Size of the largest connected component: 20
Degree assortativity coefficient: -0.4583333333333324
     Node  Degree Centrality
4   12176              0.211
13    330              0.158
2   12041              0.158
18  12138              0.158
17    337              0.158
16    336              0.158
9   11435              0.158
11    328              0.158
12    329              0.158
7   11433              0.105
15    335              0.105
14    334              0.105
0   12032              0.053
10  12202              0.053
1   12033              0.053
8   11434              0.053
6   40094              0.053
5   12058              0.053
3   12175              0.053
19  12022              0.053
     Node  Closeness Centrality
4   12176                 0.317
7   11433                 0.317
9   11435                 0.306
16    336                 0.288
12    329                 0.279
17    337                 0.250
10  12202                 0.244
3   12175                 0.244
13    330                 0.244
8   11434                 0.237
11    328                 0.237
15    335                 0.232
18  12138                 0.211
2   12041                 0.207
14    334                 0.207
6   40094                 0.194
0   12032                 0.176
1   12033                 0.176
5   12058                 0.173
19  12022                 0.173
     Node  Betweenness Centrality
4   12176                   0.614
9   11435                   0.556
7   11433                   0.526
16    336                   0.468
12    329                   0.456
17    337                   0.322
13    330                   0.281
2   12041                   0.205
18  12138                   0.205
11    328                   0.105
15    335                   0.041
14    334                   0.012
0   12032                   0.000
10  12202                   0.000
1   12033                   0.000
8   11434                   0.000
6   40094                   0.000
5   12058                   0.000
3   12175                   0.000
19  12022                   0.000
     Node  Katz Centrality
4   12176            0.243
17    337            0.234
16    336            0.234
12    329            0.234
13    330            0.234
9   11435            0.233
11    328            0.233
2   12041            0.232
18  12138            0.232
7   11433            0.223
14    334            0.222
15    335            0.222
10  12202            0.212
3   12175            0.212
0   12032            0.211
1   12033            0.211
8   11434            0.211
6   40094            0.211
5   12058            0.211
19  12022            0.211
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 10 --------------------
---------- Graph Stats  ----------
Nodes : 17 Edges : 17
Diameter : 5
Periphery : [12225, 12228, 12229, 12231, 16399, 37522, 37523, 1176, 12248]
Density of the graph: 0.125
Average degree: 2.0
Size of the largest connected component: 17
Degree assortativity coefficient: -0.00563380281690109
     Node  Degree Centrality
13    378              0.250
12    377              0.250
10  12247              0.188
2   12227              0.188
14  16472              0.188
1   12226              0.188
11    376              0.188
5   12230              0.125
0   12225              0.062
15   1176              0.062
8   37522              0.062
9   37523              0.062
7   16399              0.062
6   12231              0.062
4   12229              0.062
3   12228              0.062
16  12248              0.062
     Node  Closeness Centrality
12    377                 0.485
13    378                 0.471
11    376                 0.444
2   12227                 0.364
1   12226                 0.364
10  12247                 0.356
5   12230                 0.340
14  16472                 0.340
0   12225                 0.271
3   12228                 0.271
4   12229                 0.271
7   16399                 0.271
8   37522                 0.267
16  12248                 0.267
9   37523                 0.258
6   12231                 0.258
15   1176                 0.258
     Node  Betweenness Centrality
12    377                   0.575
13    378                   0.508
11    376                   0.325
10  12247                   0.242
2   12227                   0.242
14  16472                   0.242
1   12226                   0.242
5   12230                   0.125
0   12225                   0.000
15   1176                   0.000
8   37522                   0.000
9   37523                   0.000
7   16399                   0.000
6   12231                   0.000
4   12229                   0.000
3   12228                   0.000
16  12248                   0.000
     Node  Katz Centrality
12    377            0.269
13    378            0.268
11    376            0.257
10  12247            0.253
2   12227            0.253
14  16472            0.253
1   12226            0.253
5   12230            0.242
0   12225            0.230
15   1176            0.230
8   37522            0.230
9   37523            0.230
7   16399            0.230
4   12229            0.230
3   12228            0.230
16  12248            0.230
6   12231            0.229
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 11 --------------------
---------- Graph Stats  ----------
Nodes : 37 Edges : 37
Diameter : 9
Periphery : [20772, 3264, 21184, 20803, 20813]
Density of the graph: 0.07207207207207207
Average degree: 2.5945945945945947
Size of the largest connected component: 37
Degree assortativity coefficient: -0.15895372233400676
     Node  Degree Centrality
19    457              0.167
20    458              0.139
36   7163              0.111
14   3263              0.111
35   7162              0.111
32  42094              0.111
29  41945              0.111
23  20812              0.111
34  20849              0.083
26  21970              0.083
22  20811              0.083
21    459              0.083
1   21122              0.083
0   21121              0.083
18    456              0.083
7     398              0.083
3     394              0.083
4     395              0.083
12   3261              0.083
5     396              0.083
6     397              0.083
8     399              0.083
24  20813              0.056
25  21969              0.056
9    7184              0.056
10   7186              0.056
15   3264              0.028
27  41944              0.028
28  42329              0.028
11  20772              0.028
30  20839              0.028
31  42092              0.028
17  20803              0.028
33  20848              0.028
16  21184              0.028
2   20869              0.028
13   3262              0.028
     Node  Closeness Centrality
19    457                 0.371
8     399                 0.336
32  42094                 0.319
18    456                 0.316
21    459                 0.308
29  41945                 0.298
7     398                 0.293
34  20849                 0.286
4     395                 0.286
9    7184                 0.271
20    458                 0.271
0   21121                 0.261
1   21122                 0.255
6     397                 0.255
26  21970                 0.252
3     394                 0.250
35   7162                 0.247
28  42329                 0.243
25  21969                 0.240
12   3261                 0.234
31  42092                 0.231
27  41944                 0.231
22  20811                 0.228
5     396                 0.225
33  20848                 0.224
36   7163                 0.222
23  20812                 0.222
14   3263                 0.222
10   7186                 0.211
2   20869                 0.202
24  20813                 0.193
13   3262                 0.190
30  20839                 0.190
11  20772                 0.183
17  20803                 0.183
16  21184                 0.183
15   3264                 0.183
     Node  Betweenness Centrality
19    457                   0.608
8     399                   0.326
7     398                   0.300
32  42094                   0.226
20    458                   0.223
18    456                   0.204
29  41945                   0.164
6     397                   0.159
21    459                   0.129
23  20812                   0.128
14   3263                   0.121
9    7184                   0.110
12   3261                   0.110
35   7162                   0.098
34  20849                   0.094
4     395                   0.082
26  21970                   0.067
36   7163                   0.048
3     394                   0.046
22  20811                   0.045
1   21122                   0.044
5     396                   0.028
0   21121                   0.010
24  20813                   0.007
25  21969                   0.006
13   3262                   0.000
11  20772                   0.000
17  20803                   0.000
28  42329                   0.000
10   7186                   0.000
30  20839                   0.000
31  42092                   0.000
15   3264                   0.000
33  20848                   0.000
16  21184                   0.000
2   20869                   0.000
27  41944                   0.000
     Node  Katz Centrality
19    457            0.193
20    458            0.184
36   7163            0.176
32  42094            0.176
35   7162            0.175
29  41945            0.175
14   3263            0.174
23  20812            0.174
21    459            0.169
18    456            0.169
5     396            0.168
1   21122            0.168
3     394            0.168
4     395            0.168
22  20811            0.168
6     397            0.168
8     399            0.168
0   21121            0.168
7     398            0.167
34  20849            0.167
12   3261            0.166
26  21970            0.166
10   7186            0.160
9    7184            0.160
24  20813            0.159
25  21969            0.159
28  42329            0.151
31  42092            0.151
17  20803            0.151
16  21184            0.151
11  20772            0.151
15   3264            0.151
27  41944            0.151
13   3262            0.150
30  20839            0.150
33  20848            0.150
2   20869            0.150
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 12 --------------------
---------- Graph Stats  ----------
Nodes : 32 Edges : 32
Diameter : 9
Periphery : [2575, 2649, 2653, 42208, 2660, 2671, 2935]
Density of the graph: 0.07056451612903226
Average degree: 2.1875
Size of the largest connected component: 32
Degree assortativity coefficient: -0.5415415415415425
     Node  Degree Centrality
22   2652              0.129
19   2647              0.129
0   41613              0.097
10    447              0.097
27   2661              0.097
20   2648              0.097
17    592              0.097
14    449              0.097
13    450              0.097
16    591              0.097
9     446              0.097
8     445              0.097
6   40748              0.097
2     400              0.097
5     403              0.097
4     402              0.097
3     401              0.097
7   40749              0.065
11    448              0.065
25  42211              0.032
30   2935              0.032
29   2934              0.032
28   2671              0.032
26   2660              0.032
21   2649              0.032
24  42208              0.032
23   2653              0.032
18   2646              0.032
1    2575              0.032
15    451              0.032
12   2625              0.032
31   2938              0.032
     Node  Closeness Centrality
14    449                 0.290
4     402                 0.287
5     403                 0.282
16    591                 0.279
10    447                 0.279
3     401                 0.277
11    448                 0.274
2     400                 0.272
8     445                 0.272
17    592                 0.272
13    450                 0.272
9     446                 0.270
22   2652                 0.230
19   2647                 0.230
0   41613                 0.225
6   40748                 0.225
20   2648                 0.223
27   2661                 0.221
15    451                 0.215
7   40749                 0.205
1    2575                 0.188
30   2935                 0.188
29   2934                 0.188
23   2653                 0.188
18   2646                 0.188
31   2938                 0.188
24  42208                 0.185
25  42211                 0.185
12   2625                 0.185
21   2649                 0.183
26   2660                 0.182
28   2671                 0.182
     Node  Betweenness Centrality
10    447                   0.328
16    591                   0.320
14    449                   0.278
8     445                   0.276
17    592                   0.273
4     402                   0.267
9     446                   0.255
3     401                   0.234
11    448                   0.218
2     400                   0.206
22   2652                   0.187
19   2647                   0.187
5     403                   0.144
27   2661                   0.127
0   41613                   0.127
13    450                   0.113
6   40748                   0.095
20   2648                   0.092
7   40749                   0.009
15    451                   0.000
25  42211                   0.000
30   2935                   0.000
29   2934                   0.000
28   2671                   0.000
26   2660                   0.000
23   2653                   0.000
24  42208                   0.000
1    2575                   0.000
21   2649                   0.000
12   2625                   0.000
18   2646                   0.000
31   2938                   0.000
     Node  Katz Centrality
22   2652            0.191
19   2647            0.191
16    591            0.185
14    449            0.184
2     400            0.184
3     401            0.184
4     402            0.184
5     403            0.184
8     445            0.184
9     446            0.184
10    447            0.184
17    592            0.184
27   2661            0.183
20   2648            0.183
0   41613            0.183
13    450            0.183
6   40748            0.183
11    448            0.175
7   40749            0.175
15    451            0.166
25  42211            0.166
30   2935            0.166
29   2934            0.166
28   2671            0.166
26   2660            0.166
23   2653            0.166
24  42208            0.166
1    2575            0.166
21   2649            0.166
12   2625            0.166
18   2646            0.166
31   2938            0.166
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 13 --------------------
---------- Graph Stats  ----------
Nodes : 16 Edges : 16
Diameter : 6
Periphery : [6048, 6049, 36224, 5637, 5638, 6302]
Density of the graph: 0.175
Average degree: 2.625
Size of the largest connected component: 16
Degree assortativity coefficient: -0.17914438502674013
     Node  Degree Centrality
3    5636              0.267
7    6025              0.267
10    407              0.267
12    409              0.267
6    6024              0.200
8   36209              0.200
9     406              0.200
11    408              0.200
13   6300              0.200
14   6301              0.200
2   36224              0.133
4    5637              0.133
0    6048              0.067
1    6049              0.067
5    5638              0.067
15   6302              0.067
     Node  Closeness Centrality
10    407                 0.469
12    409                 0.469
9     406                 0.417
11    408                 0.417
3    5636                 0.395
7    6025                 0.395
8   36209                 0.395
14   6301                 0.375
6    6024                 0.357
2   36224                 0.341
13   6300                 0.341
4    5637                 0.326
1    6049                 0.288
5    5638                 0.288
0    6048                 0.268
15   6302                 0.259
     Node  Betweenness Centrality
10    407                   0.304
12    409                   0.293
7    6025                   0.241
3    5636                   0.236
11    408                   0.192
9     406                   0.190
6    6024                   0.165
13   6300                   0.153
8   36209                   0.147
14   6301                   0.118
2   36224                   0.042
4    5637                   0.033
0    6048                   0.000
1    6049                   0.000
5    5638                   0.000
15   6302                   0.000
     Node  Katz Centrality
10    407            0.268
12    409            0.268
3    5636            0.266
7    6025            0.266
8   36209            0.255
9     406            0.255
11    408            0.255
6    6024            0.254
14   6301            0.254
13   6300            0.253
2   36224            0.242
4    5637            0.242
0    6048            0.229
1    6049            0.229
5    5638            0.229
15   6302            0.229
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 14 --------------------
---------- Graph Stats  ----------
Nodes : 26 Edges : 26
Diameter : 7
Periphery : [677, 681, 699, 7755, 7756, 7787, 1023]
Density of the graph: 0.09230769230769231
Average degree: 2.3076923076923075
Size of the largest connected component: 26
Degree assortativity coefficient: -0.24746450304259682
    Node  Degree Centrality
20  7794               0.16
16  7757               0.16
3    413               0.16
21   755               0.16
7    417               0.16
11   682               0.12
22  7795               0.12
12   683               0.12
0   1024               0.12
8    418               0.12
6    416               0.12
5    415               0.12
4    414               0.12
2    412               0.12
15  7756               0.08
19  7793               0.04
23   756               0.04
24   758               0.04
13   699               0.04
18  7792               0.04
17  7787               0.04
14  7755               0.04
1   1025               0.04
10   681               0.04
9    677               0.04
25  1023               0.04
    Node  Closeness Centrality
3    413                 0.391
8    418                 0.373
7    417                 0.357
2    412                 0.347
22  7795                 0.329
20  7794                 0.316
4    414                 0.312
6    416                 0.312
21   755                 0.305
16  7757                 0.305
5    415                 0.301
0   1024                 0.278
12   683                 0.272
11   682                 0.269
18  7792                 0.250
15  7756                 0.245
17  7787                 0.243
1   1025                 0.240
14  7755                 0.236
23   756                 0.236
19  7793                 0.236
24   758                 0.236
25  1023                 0.219
9    677                 0.216
13   699                 0.216
10   681                 0.214
    Node  Betweenness Centrality
3    413                   0.487
2    412                   0.333
7    417                   0.319
8    418                   0.264
21   755                   0.230
20  7794                   0.186
6    416                   0.180
16  7757                   0.169
12   683                   0.157
4    414                   0.147
22  7795                   0.144
5    415                   0.117
0   1024                   0.100
11   682                   0.080
15  7756                   0.014
23   756                   0.000
19  7793                   0.000
24   758                   0.000
13   699                   0.000
18  7792                   0.000
17  7787                   0.000
14  7755                   0.000
1   1025                   0.000
10   681                   0.000
9    677                   0.000
25  1023                   0.000
    Node  Katz Centrality
20  7794            0.213
3    413            0.213
16  7757            0.213
7    417            0.213
21   755            0.211
8    418            0.204
2    412            0.203
4    414            0.203
5    415            0.203
22  7795            0.203
11   682            0.202
0   1024            0.202
6    416            0.202
12   683            0.201
15  7756            0.193
23   756            0.183
19  7793            0.183
24   758            0.183
13   699            0.183
18  7792            0.183
17  7787            0.183
14  7755            0.183
1   1025            0.183
10   681            0.183
9    677            0.183
25  1023            0.183
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 15 --------------------
---------- Graph Stats  ----------
Nodes : 19 Edges : 19
Diameter : 6
Periphery : [39690, 40848, 40853, 39978, 33467, 33469, 15712, 15714]
Density of the graph: 0.1286549707602339
Average degree: 2.3157894736842106
Size of the largest connected component: 19
Degree assortativity coefficient: -0.3628318584070792
     Node  Degree Centrality
9     439              0.222
17  15713              0.222
5   20655              0.222
8     438              0.222
13  23896              0.222
11  33468              0.222
15  23898              0.167
6     436              0.167
7     437              0.167
14  23897              0.111
12  33469              0.056
16  15712              0.056
0   39690              0.056
10  33467              0.056
1   40848              0.056
4   39978              0.056
3   39962              0.056
2   40853              0.056
18  15714              0.056
     Node  Closeness Centrality
8     438                 0.450
7     437                 0.429
9     439                 0.419
5   20655                 0.400
6     436                 0.400
17  15713                 0.353
13  23896                 0.346
11  33468                 0.340
15  23898                 0.321
14  23897                 0.305
3   39962                 0.290
16  15712                 0.265
18  15714                 0.265
1   40848                 0.265
4   39978                 0.261
12  33469                 0.257
10  33467                 0.257
0   39690                 0.257
2   40853                 0.247
     Node  Betweenness Centrality
8     438                   0.491
7     437                   0.415
17  15713                   0.314
11  33468                   0.314
6     436                   0.228
5   20655                   0.182
9     439                   0.181
13  23896                   0.176
15  23898                   0.150
14  23897                   0.039
12  33469                   0.000
16  15712                   0.000
0   39690                   0.000
10  33467                   0.000
1   40848                   0.000
4   39978                   0.000
3   39962                   0.000
2   40853                   0.000
18  15714                   0.000
     Node  Katz Centrality
9     439            0.251
8     438            0.250
5   20655            0.249
13  23896            0.248
17  15713            0.246
11  33468            0.245
7     437            0.238
6     436            0.237
15  23898            0.235
14  23897            0.226
12  33469            0.214
16  15712            0.214
0   39690            0.214
10  33467            0.214
1   40848            0.214
4   39978            0.214
3   39962            0.214
18  15714            0.214
2   40853            0.213
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 16 --------------------
---------- Graph Stats  ----------
Nodes : 26 Edges : 26
Diameter : 6
Periphery : [42134, 40104, 40110, 20534, 41917, 5312, 5313, 20554, 20556, 20572, 20716, 20723, 20725]
Density of the graph: 0.08923076923076922
Average degree: 2.230769230769231
Size of the largest connected component: 26
Degree assortativity coefficient: -0.3205828779599262
     Node  Degree Centrality
19  20571               0.16
18    467               0.16
16    465               0.16
15    464               0.16
23  20718               0.16
1   25505               0.16
14    463               0.12
11   5315               0.12
10   5314               0.12
17    466               0.12
6   41916               0.12
3   40105               0.12
21  20576               0.08
12  20554               0.08
20  20572               0.04
22  20716               0.04
24  20723               0.04
0   42134               0.04
13  20556               0.04
9    5313               0.04
8    5312               0.04
7   41917               0.04
5   20534               0.04
4   40110               0.04
2   40104               0.04
25  20725               0.04
     Node  Closeness Centrality
18    467                 0.397
15    464                 0.397
14    463                 0.397
16    465                 0.373
17    466                 0.362
19  20571                 0.316
11   5315                 0.312
6   41916                 0.312
23  20718                 0.309
1   25505                 0.309
10   5314                 0.301
3   40105                 0.287
21  20576                 0.281
12  20554                 0.253
20  20572                 0.243
25  20725                 0.243
9    5313                 0.240
7   41917                 0.240
22  20716                 0.238
24  20723                 0.238
13  20556                 0.238
5   20534                 0.238
8    5312                 0.234
0   42134                 0.234
4   40110                 0.225
2   40104                 0.225
     Node  Betweenness Centrality
18    467                   0.463
15    464                   0.415
14    463                   0.378
16    465                   0.302
19  20571                   0.188
23  20718                   0.188
1   25505                   0.188
17    466                   0.173
10   5314                   0.157
3   40105                   0.157
11   5315                   0.115
6   41916                   0.080
21  20576                   0.020
12  20554                   0.015
20  20572                   0.000
22  20716                   0.000
24  20723                   0.000
0   42134                   0.000
13  20556                   0.000
9    5313                   0.000
8    5312                   0.000
7   41917                   0.000
5   20534                   0.000
4   40110                   0.000
2   40104                   0.000
25  20725                   0.000
     Node  Katz Centrality
18    467            0.215
16    465            0.214
15    464            0.214
23  20718            0.212
1   25505            0.212
19  20571            0.211
14    463            0.205
17    466            0.205
11   5315            0.203
6   41916            0.203
10   5314            0.202
3   40105            0.202
21  20576            0.194
12  20554            0.194
20  20572            0.184
22  20716            0.184
24  20723            0.184
13  20556            0.184
25  20725            0.184
5   20534            0.184
9    5313            0.183
8    5312            0.183
7   41917            0.183
4   40110            0.183
2   40104            0.183
0   42134            0.183
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 17 --------------------
---------- Graph Stats  ----------
Nodes : 23 Edges : 23
Diameter : 6
Periphery : [6679, 6682, 6953, 6699, 6605, 6606, 6620, 6621, 6893]
Density of the graph: 0.11857707509881422
Average degree: 2.608695652173913
Size of the largest connected component: 23
Degree assortativity coefficient: -0.4300518134715037
    Node  Degree Centrality
0    512              0.182
6   6684              0.182
13  6604              0.182
8   6696              0.182
7   6685              0.182
22   511              0.182
5   6683              0.182
3   6681              0.182
16  6616              0.136
21   510              0.136
20   509              0.136
1    513              0.136
18  6621              0.091
17  6620              0.091
14  6605              0.091
2   6679              0.091
11  6700              0.091
15  6606              0.045
4   6682              0.045
12  6963              0.045
19  6893              0.045
10  6699              0.045
9   6953              0.045
    Node  Closeness Centrality
0    512                 0.423
22   511                 0.423
20   509                 0.386
1    513                 0.386
21   510                 0.373
6   6684                 0.367
5   6683                 0.349
8   6696                 0.349
7   6685                 0.338
13  6604                 0.338
3   6681                 0.328
16  6616                 0.324
11  6700                 0.310
18  6621                 0.297
2   6679                 0.297
14  6605                 0.297
17  6620                 0.289
12  6963                 0.272
19  6893                 0.262
9   6953                 0.262
15  6606                 0.256
10  6699                 0.256
4   6682                 0.250
    Node  Betweenness Centrality
0    512                   0.314
22   511                   0.283
6   6684                   0.196
7   6685                   0.189
5   6683                   0.178
8   6696                   0.174
13  6604                   0.171
3   6681                   0.163
1    513                   0.154
20   509                   0.130
21   510                   0.129
16  6616                   0.085
2   6679                   0.071
18  6621                   0.047
14  6605                   0.040
11  6700                   0.032
17  6620                   0.025
15  6606                   0.000
10  6699                   0.000
19  6893                   0.000
9   6953                   0.000
4   6682                   0.000
12  6963                   0.000
    Node  Katz Centrality
0    512            0.224
22   511            0.224
5   6683            0.222
6   6684            0.222
7   6685            0.222
8   6696            0.222
3   6681            0.221
13  6604            0.221
21   510            0.213
20   509            0.213
1    513            0.213
16  6616            0.211
2   6679            0.202
18  6621            0.202
17  6620            0.202
11  6700            0.202
14  6605            0.202
15  6606            0.191
10  6699            0.191
19  6893            0.191
9   6953            0.191
4   6682            0.191
12  6963            0.191
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 18 --------------------
---------- Graph Stats  ----------
Nodes : 19 Edges : 19
Diameter : 5
Periphery : [5890, 5896, 5893, 5902, 1118, 5854, 5862, 5864, 5874, 5882]
Density of the graph: 0.1286549707602339
Average degree: 2.3157894736842106
Size of the largest connected component: 19
Degree assortativity coefficient: -0.24768518518518623
    Node  Degree Centrality
2    516              0.278
0    514              0.222
12  1119              0.222
17  5883              0.222
18  5884              0.222
4   5894              0.222
1    515              0.167
11  1120              0.167
15  5874              0.111
9   1118              0.111
5   5890              0.056
6   5896              0.056
7   5893              0.056
8   5902              0.056
10  5854              0.056
13  5862              0.056
14  5864              0.056
16  5882              0.056
3   5892              0.056
    Node  Closeness Centrality
2    516                 0.514
0    514                 0.462
1    515                 0.439
4   5894                 0.400
18  5884                 0.400
17  5883                 0.391
12  1119                 0.375
11  1120                 0.353
3   5892                 0.321
15  5874                 0.321
9   1118                 0.300
10  5854                 0.290
13  5862                 0.290
14  5864                 0.290
7   5893                 0.286
16  5882                 0.286
5   5890                 0.277
6   5896                 0.277
8   5902                 0.265
    Node  Betweenness Centrality
2    516                   0.608
0    514                   0.359
12  1119                   0.261
17  5883                   0.248
4   5894                   0.216
1    515                   0.190
18  5884                   0.163
11  1120                   0.150
9   1118                   0.039
15  5874                   0.020
7   5893                   0.000
8   5902                   0.000
6   5896                   0.000
10  5854                   0.000
5   5890                   0.000
13  5862                   0.000
14  5864                   0.000
16  5882                   0.000
3   5892                   0.000
    Node  Katz Centrality
2    516            0.263
0    514            0.249
18  5884            0.249
4   5894            0.248
17  5883            0.247
12  1119            0.246
1    515            0.238
11  1120            0.235
15  5874            0.226
9   1118            0.225
3   5892            0.214
5   5890            0.214
6   5896            0.214
7   5893            0.214
10  5854            0.214
13  5862            0.214
14  5864            0.214
16  5882            0.214
8   5902            0.213
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 19 --------------------
---------- Graph Stats  ----------
Nodes : 17 Edges : 17
Diameter : 6
Periphery : [8156, 8148, 8124]
Density of the graph: 0.16176470588235295
Average degree: 2.588235294117647
Size of the largest connected component: 17
Degree assortativity coefficient: -0.13304721030042904
    Node  Degree Centrality
12  8153              0.312
2    519              0.250
3    520              0.250
14  8155              0.250
6   8145              0.250
1    518              0.250
0    517              0.188
13  8154              0.188
7   8146              0.188
11  8152              0.125
8   8147              0.125
10  8151              0.062
9   8148              0.062
5   8156              0.062
4   8137              0.062
15  8124              0.062
16  8157              0.062
    Node  Closeness Centrality
2    519                 0.471
0    517                 0.457
3    520                 0.457
1    518                 0.457
12  8153                 0.444
14  8155                 0.410
6   8145                 0.381
11  8152                 0.372
13  8154                 0.364
7   8146                 0.364
8   8147                 0.320
10  8151                 0.314
16  8157                 0.296
9   8148                 0.281
15  8124                 0.281
5   8156                 0.271
4   8137                 0.271
    Node  Betweenness Centrality
1    518                   0.300
0    517                   0.263
2    519                   0.262
12  8153                   0.246
6   8145                   0.242
3    520                   0.188
14  8155                   0.175
13  8154                   0.175
7   8146                   0.175
11  8152                   0.033
8   8147                   0.033
10  8151                   0.000
9   8148                   0.000
5   8156                   0.000
4   8137                   0.000
15  8124                   0.000
16  8157                   0.000
    Node  Katz Centrality
12  8153            0.271
3    520            0.262
2    519            0.261
1    518            0.260
14  8155            0.258
6   8145            0.258
0    517            0.248
13  8154            0.245
7   8146            0.245
11  8152            0.236
8   8147            0.234
10  8151            0.223
9   8148            0.222
5   8156            0.222
4   8137            0.222
15  8124            0.222
16  8157            0.222
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 20 --------------------
---------- Graph Stats  ----------
Nodes : 34 Edges : 34
Diameter : 8
Periphery : [5424, 5447, 5367, 5368]
Density of the graph: 0.0748663101604278
Average degree: 2.4705882352941178
Size of the largest connected component: 34
Degree assortativity coefficient: -0.4439461883408069
    Node  Degree Centrality
26  5444              0.121
23  5438              0.121
1    528              0.121
4    531              0.121
5    532              0.121
15  5423              0.121
7    534              0.121
13  5421              0.121
20  5433              0.121
11  5418              0.121
0    527              0.091
25  5443              0.091
19  5432              0.091
8    535              0.091
6    533              0.091
3    530              0.091
2    529              0.091
31  5450              0.061
24  5442              0.061
30  5449              0.061
17  5424              0.061
14  5422              0.061
10  5417              0.061
21  5436              0.030
22  5437              0.030
18  5431              0.030
16  7984              0.030
12  5420              0.030
27  5445              0.030
28  5447              0.030
29  5448              0.030
9   5391              0.030
32  5367              0.030
33  5368              0.030
    Node  Closeness Centrality
1    528                 0.363
0    527                 0.344
7    534                 0.333
4    531                 0.320
5    532                 0.308
2    529                 0.303
8    535                 0.300
19  5432                 0.297
3    530                 0.292
6    533                 0.287
20  5433                 0.277
23  5438                 0.268
13  5421                 0.268
26  5444                 0.264
11  5418                 0.262
14  5422                 0.262
15  5423                 0.248
25  5443                 0.244
30  5449                 0.241
10  5417                 0.241
24  5442                 0.232
31  5450                 0.228
17  5424                 0.224
21  5436                 0.219
18  5431                 0.219
22  5437                 0.213
16  7984                 0.213
12  5420                 0.213
9   5391                 0.213
27  5445                 0.210
29  5448                 0.210
33  5368                 0.209
32  5367                 0.200
28  5447                 0.198
    Node  Betweenness Centrality
1    528                   0.364
7    534                   0.347
5    532                   0.254
0    527                   0.252
4    531                   0.219
8    535                   0.191
26  5444                   0.162
23  5438                   0.155
20  5433                   0.145
2    529                   0.140
6    533                   0.138
13  5421                   0.136
11  5418                   0.133
19  5432                   0.122
3    530                   0.099
15  5423                   0.098
25  5443                   0.078
10  5417                   0.053
14  5422                   0.044
17  5424                   0.031
30  5449                   0.016
24  5442                   0.011
31  5450                   0.009
18  5431                   0.000
21  5436                   0.000
22  5437                   0.000
16  7984                   0.000
12  5420                   0.000
9   5391                   0.000
27  5445                   0.000
28  5447                   0.000
29  5448                   0.000
32  5367                   0.000
33  5368                   0.000
    Node  Katz Centrality
7    534            0.186
1    528            0.186
4    531            0.185
5    532            0.184
11  5418            0.183
15  5423            0.183
20  5433            0.183
13  5421            0.183
26  5444            0.183
23  5438            0.183
0    527            0.177
19  5432            0.177
3    530            0.177
6    533            0.176
2    529            0.176
8    535            0.176
25  5443            0.175
17  5424            0.168
14  5422            0.168
10  5417            0.168
24  5442            0.167
30  5449            0.167
31  5450            0.167
18  5431            0.159
16  7984            0.159
21  5436            0.159
22  5437            0.159
12  5420            0.159
9   5391            0.159
27  5445            0.159
29  5448            0.159
32  5367            0.159
33  5368            0.159
28  5447            0.158
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 21 --------------------
---------- Graph Stats  ----------
Nodes : 13 Edges : 13
Diameter : 5
Periphery : [4480, 4487, 4484, 4476]
Density of the graph: 0.19230769230769232
Average degree: 2.3076923076923075
Size of the largest connected component: 13
Degree assortativity coefficient: -0.4285714285714284
    Node  Degree Centrality
0    544              0.333
4   4481              0.333
9   4371              0.333
11  4373              0.333
1    545              0.250
2    546              0.167
3    547              0.167
10  4372              0.167
5   4485              0.083
6   4480              0.083
7   4487              0.083
8   4484              0.083
12  4476              0.083
    Node  Closeness Centrality
0    544                 0.545
11  4373                 0.522
1    545                 0.480
4   4481                 0.462
9   4371                 0.444
10  4372                 0.429
2    546                 0.387
3    547                 0.353
5   4485                 0.353
6   4480                 0.324
8   4484                 0.324
7   4487                 0.316
12  4476                 0.316
    Node  Betweenness Centrality
0    544                   0.414
11  4373                   0.375
4   4481                   0.352
9   4371                   0.344
1    545                   0.204
10  4372                   0.091
2    546                   0.046
3    547                   0.023
5   4485                   0.000
6   4480                   0.000
7   4487                   0.000
8   4484                   0.000
12  4476                   0.000
    Node  Katz Centrality
0    544            0.302
11  4373            0.300
4   4481            0.299
9   4371            0.298
1    545            0.287
10  4372            0.274
2    546            0.272
3    547            0.272
5   4485            0.259
6   4480            0.259
7   4487            0.259
8   4484            0.259
12  4476            0.259
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 22 --------------------
---------- Graph Stats  ----------
Nodes : 52 Edges : 52
Diameter : 30
Periphery : [37004, 37005, 37015, 37018, 37019, 2024]
Density of the graph: 0.04524886877828054
Average degree: 2.3076923076923075
Size of the largest connected component: 52
Degree assortativity coefficient: 0.19852602487333107
     Node  Degree Centrality
27    566              0.078
21    560              0.078
15    554              0.078
0   37003              0.059
17    556              0.059
50   2025              0.059
48   2023              0.059
47  36197              0.059
30    569              0.059
28    567              0.059
25    564              0.059
24    563              0.059
23    562              0.059
20    559              0.059
19    558              0.059
18    557              0.059
26    565              0.059
16    555              0.059
10   1189              0.059
5   37017              0.059
14    553              0.059
12    551              0.059
13    552              0.059
49   2024              0.039
45    590              0.039
44    589              0.039
43    588              0.039
35    574              0.039
41    580              0.039
40    579              0.039
39    578              0.039
38    577              0.039
37    576              0.039
36    575              0.039
42    587              0.039
34    573              0.039
33    572              0.039
32    571              0.039
31    570              0.039
29    568              0.039
1   37004              0.039
22    561              0.039
6   37018              0.020
7   37019              0.020
8   37020              0.020
9    1187              0.020
46  36196              0.020
4   37016              0.020
3   37015              0.020
11   1190              0.020
2   37005              0.020
51  36207              0.020
     Node  Closeness Centrality
34    573                 0.107
38    577                 0.107
36    575                 0.106
29    568                 0.106
37    576                 0.105
22    561                 0.105
43    588                 0.104
18    557                 0.104
15    554                 0.102
45    590                 0.102
42    587                 0.100
17    556                 0.099
14    553                 0.098
41    580                 0.098
35    574                 0.096
13    552                 0.096
16    555                 0.095
12    551                 0.093
10   1189                 0.093
33    572                 0.093
47  36197                 0.090
31    570                 0.090
20    559                 0.088
32    571                 0.087
11   1190                 0.085
9    1187                 0.085
44    589                 0.084
46  36196                 0.083
21    560                 0.083
19    558                 0.083
51  36207                 0.083
39    578                 0.080
48   2023                 0.077
50   2025                 0.077
40    579                 0.077
0   37003                 0.077
30    569                 0.074
1   37004                 0.072
3   37015                 0.072
49   2024                 0.072
2   37005                 0.072
27    566                 0.071
26    565                 0.071
28    567                 0.067
25    564                 0.067
23    562                 0.067
24    563                 0.064
8   37020                 0.063
4   37016                 0.063
5   37017                 0.060
7   37019                 0.057
6   37018                 0.057
     Node  Betweenness Centrality
34    573                   0.510
38    577                   0.510
36    575                   0.508
29    568                   0.508
37    576                   0.505
22    561                   0.505
18    557                   0.503
43    588                   0.500
45    590                   0.494
42    587                   0.486
41    580                   0.477
35    574                   0.466
33    572                   0.453
31    570                   0.439
32    571                   0.424
44    589                   0.406
39    578                   0.387
40    579                   0.367
15    554                   0.353
30    569                   0.345
12    551                   0.326
20    559                   0.296
14    553                   0.277
27    566                   0.165
17    556                   0.165
21    560                   0.160
13    552                   0.148
26    565                   0.132
24    563                   0.116
25    564                   0.107
19    558                   0.089
5   37017                   0.078
47  36197                   0.078
10   1189                   0.078
23    562                   0.075
48   2023                   0.057
0   37003                   0.057
28    567                   0.039
50   2025                   0.039
16    555                   0.006
49   2024                   0.003
1   37004                   0.002
11   1190                   0.000
9    1187                   0.000
8   37020                   0.000
7   37019                   0.000
6   37018                   0.000
4   37016                   0.000
46  36196                   0.000
3   37015                   0.000
2   37005                   0.000
51  36207                   0.000
     Node  Katz Centrality
21    560            0.151
15    554            0.151
27    566            0.151
26    565            0.144
17    556            0.144
16    555            0.144
14    553            0.144
13    552            0.144
12    551            0.144
20    559            0.144
23    562            0.144
19    558            0.144
24    563            0.144
28    567            0.144
30    569            0.144
18    557            0.144
25    564            0.143
48   2023            0.143
50   2025            0.143
0   37003            0.143
10   1189            0.143
47  36197            0.142
5   37017            0.142
49   2024            0.137
1   37004            0.137
36    575            0.136
35    574            0.136
43    588            0.136
42    587            0.136
41    580            0.136
40    579            0.136
39    578            0.136
38    577            0.136
37    576            0.136
32    571            0.136
34    573            0.136
33    572            0.136
45    590            0.136
31    570            0.136
29    568            0.136
22    561            0.136
44    589            0.136
46  36196            0.129
3   37015            0.129
2   37005            0.129
11   1190            0.129
4   37016            0.129
6   37018            0.129
7   37019            0.129
8   37020            0.129
9    1187            0.129
51  36207            0.129
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 23 --------------------
---------- Graph Stats  ----------
Nodes : 19 Edges : 19
Diameter : 6
Periphery : [22151, 21926, 21927, 31944, 22106, 22108, 17398]
Density of the graph: 0.13450292397660818
Average degree: 2.4210526315789473
Size of the largest connected component: 19
Degree assortativity coefficient: -0.07430997876857752
     Node  Degree Centrality
8     585              0.333
9     586              0.167
17  22113              0.167
3     944              0.167
4     581              0.167
5     582              0.167
6     583              0.167
15  22107              0.167
11  22098              0.167
12  22099              0.167
13  22105              0.167
7     584              0.111
16  22108              0.111
14  22106              0.056
0   22151              0.056
10  31944              0.056
1   21926              0.056
2   21927              0.056
18  17398              0.056
     Node  Closeness Centrality
8     585                 0.462
7     584                 0.409
9     586                 0.391
6     583                 0.383
3     944                 0.367
5     582                 0.367
13  22105                 0.346
15  22107                 0.340
17  22113                 0.340
4     581                 0.333
12  22099                 0.310
11  22098                 0.300
10  31944                 0.273
16  22108                 0.261
18  17398                 0.261
14  22106                 0.261
1   21926                 0.240
2   21927                 0.234
0   22151                 0.234
     Node  Betweenness Centrality
8     585                   0.618
6     583                   0.340
7     584                   0.271
9     586                   0.216
11  22098                   0.216
13  22105                   0.216
5     582                   0.186
3     944                   0.111
12  22099                   0.111
4     581                   0.108
17  22113                   0.052
15  22107                   0.052
14  22106                   0.000
16  22108                   0.000
0   22151                   0.000
10  31944                   0.000
1   21926                   0.000
2   21927                   0.000
18  17398                   0.000
     Node  Katz Centrality
8     585            0.271
9     586            0.237
17  22113            0.237
15  22107            0.237
3     944            0.236
4     581            0.236
5     582            0.236
6     583            0.235
12  22099            0.235
13  22105            0.235
11  22098            0.233
7     584            0.226
16  22108            0.224
14  22106            0.212
0   22151            0.212
10  31944            0.212
1   21926            0.212
2   21927            0.212
18  17398            0.212
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 24 --------------------
---------- Graph Stats  ----------
Nodes : 8 Edges : 8
Diameter : 4
Periphery : [593, 36021, 36017, 36022]
Density of the graph: 0.2857142857142857
Average degree: 2.0
Size of the largest connected component: 8
Degree assortativity coefficient: -0.3333333333333333
    Node  Degree Centrality
1    594              0.429
2    595              0.429
3    596              0.429
5  36020              0.429
0    593              0.143
4  36021              0.143
6  36017              0.143
7  36022              0.143
    Node  Closeness Centrality
2    595                 0.636
1    594                 0.538
3    596                 0.538
5  36020                 0.538
0    593                 0.368
4  36021                 0.368
6  36017                 0.368
7  36022                 0.368
    Node  Betweenness Centrality
2    595                   0.571
5  36020                   0.524
1    594                   0.286
3    596                   0.286
0    593                   0.000
4  36021                   0.000
6  36017                   0.000
7  36022                   0.000
    Node  Katz Centrality
2    595            0.372
1    594            0.371
3    596            0.371
5  36020            0.369
0    593            0.335
4  36021            0.335
6  36017            0.335
7  36022            0.335
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 25 --------------------
---------- Graph Stats  ----------
Nodes : 15 Edges : 15
Diameter : 5
Periphery : [6858, 7250, 6007, 7351, 7067, 7068, 7261, 7263]
Density of the graph: 0.1523809523809524
Average degree: 2.1333333333333333
Size of the largest connected component: 15
Degree assortativity coefficient: -0.3333333333333333
    Node  Degree Centrality
6    597              0.286
10  7066              0.286
0   6851              0.214
1    599              0.214
3   6859              0.214
5   7251              0.214
7    598              0.214
14  7263              0.143
2   6858              0.071
4   7250              0.071
8   6007              0.071
9   7351              0.071
11  7067              0.071
12  7068              0.071
13  7261              0.071
    Node  Closeness Centrality
6    597                 0.500
7    598                 0.467
1    599                 0.452
5   7251                 0.412
10  7066                 0.400
0   6851                 0.378
3   6859                 0.350
14  7263                 0.350
4   7250                 0.298
9   7351                 0.292
12  7068                 0.292
8   6007                 0.280
13  7261                 0.280
2   6858                 0.264
11  7067                 0.264
    Node  Betweenness Centrality
6    597                   0.495
1    599                   0.363
10  7066                   0.308
7    598                   0.286
0   6851                   0.275
3   6859                   0.275
5   7251                   0.209
14  7263                   0.066
2   6858                   0.000
4   7250                   0.000
8   6007                   0.000
9   7351                   0.000
11  7067                   0.000
12  7068                   0.000
13  7261                   0.000
    Node  Katz Centrality
6    597            0.283
10  7066            0.280
7    598            0.271
1    599            0.270
5   7251            0.269
0   6851            0.268
3   6859            0.267
14  7263            0.257
2   6858            0.243
4   7250            0.243
8   6007            0.243
9   7351            0.243
11  7067            0.243
12  7068            0.243
13  7261            0.243
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 26 --------------------
---------- Graph Stats  ----------
Nodes : 20 Edges : 20
Diameter : 6
Periphery : [3469, 3473, 3478, 3497, 3504, 3439, 3451, 3453]
Density of the graph: 0.13157894736842105
Average degree: 2.5
Size of the largest connected component: 20
Degree assortativity coefficient: -0.3888888888888894
    Node  Degree Centrality
7   3484              0.263
10  3498              0.211
1   3470              0.211
5    664              0.211
13   601              0.211
12   600              0.211
18  3452              0.158
15   603              0.158
4    663              0.158
14   602              0.158
0   3469              0.105
8   3494              0.105
6    665              0.105
11  3504              0.053
9   3497              0.053
3   3478              0.053
16  3439              0.053
17  3451              0.053
2   3473              0.053
19  3453              0.053
    Node  Closeness Centrality
12   600                 0.452
13   601                 0.442
15   603                 0.404
14   602                 0.396
10  3498                 0.388
7   3484                 0.380
1   3470                 0.365
4    663                 0.358
8   3494                 0.352
18  3452                 0.345
5    664                 0.333
6    665                 0.311
0   3469                 0.302
11  3504                 0.284
9   3497                 0.279
3   3478                 0.279
2   3473                 0.271
19  3453                 0.260
16  3439                 0.253
17  3451                 0.253
    Node  Betweenness Centrality
12   600                   0.338
13   601                   0.285
15   603                   0.277
7   3484                   0.270
5    664                   0.228
1   3470                   0.194
14   602                   0.180
10  3498                   0.177
18  3452                   0.137
4    663                   0.104
8   3494                   0.066
6    665                   0.035
0   3469                   0.018
11  3504                   0.000
9   3497                   0.000
3   3478                   0.000
16  3439                   0.000
17  3451                   0.000
2   3473                   0.000
19  3453                   0.000
    Node  Katz Centrality
7   3484            0.250
13   601            0.242
12   600            0.241
10  3498            0.240
1   3470            0.238
5    664            0.237
15   603            0.230
18  3452            0.229
14   602            0.229
4    663            0.228
0   3469            0.218
8   3494            0.218
6    665            0.218
9   3497            0.207
3   3478            0.207
11  3504            0.206
16  3439            0.206
17  3451            0.206
2   3473            0.206
19  3453            0.206
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 27 --------------------
---------- Graph Stats  ----------
Nodes : 19 Edges : 19
Diameter : 6
Periphery : [674, 41892, 692, 36182, 36190, 41825]
Density of the graph: 0.1286549707602339
Average degree: 2.3157894736842106
Size of the largest connected component: 19
Degree assortativity coefficient: -0.3699633699633703
     Node  Degree Centrality
10  36183              0.222
3     675              0.222
4     676              0.222
11    604              0.222
18    607              0.167
17  41826              0.167
15    608              0.167
14    606              0.167
1     673              0.167
12    605              0.111
0     672              0.111
8   36179              0.111
7     695              0.056
13  36190              0.056
6     692              0.056
5   41892              0.056
16  41825              0.056
2     674              0.056
9   36182              0.056
     Node  Closeness Centrality
11    604                 0.462
14    606                 0.429
4     676                 0.419
18    607                 0.391
15    608                 0.391
3     675                 0.383
12    605                 0.375
10  36183                 0.360
8   36179                 0.333
1     673                 0.333
17  41826                 0.327
0     672                 0.327
7     695                 0.300
6     692                 0.281
13  36190                 0.269
9   36182                 0.269
2     674                 0.254
5   41892                 0.250
16  41825                 0.250
     Node  Betweenness Centrality
11    604                   0.387
14    606                   0.383
4     676                   0.279
3     675                   0.237
10  36183                   0.237
17  41826                   0.216
18    607                   0.209
1     673                   0.144
15    608                   0.087
0     672                   0.065
8   36179                   0.049
12    605                   0.026
7     695                   0.000
13  36190                   0.000
6     692                   0.000
5   41892                   0.000
16  41825                   0.000
2     674                   0.000
9   36182                   0.000
     Node  Katz Centrality
11    604            0.250
4     676            0.249
3     675            0.248
10  36183            0.247
14    606            0.238
18    607            0.237
15    608            0.237
1     673            0.236
17  41826            0.235
12    605            0.226
0     672            0.226
8   36179            0.226
7     695            0.214
13  36190            0.214
6     692            0.214
5   41892            0.214
16  41825            0.214
2     674            0.214
9   36182            0.214
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 28 --------------------
---------- Graph Stats  ----------
Nodes : 26 Edges : 26
Diameter : 9
Periphery : [768, 109371, 109373]
Density of the graph: 0.08923076923076922
Average degree: 2.230769230769231
Size of the largest connected component: 26
Degree assortativity coefficient: -0.4846416382252563
       Node  Degree Centrality
2       661               0.16
3       662               0.16
5     37031               0.16
14      836               0.16
25      624               0.12
16      615               0.12
7   1494580               0.12
21      620               0.12
20      619               0.12
19      618               0.12
17      616               0.12
24      623               0.08
23      622               0.08
22      621               0.08
18      617               0.08
13      834               0.08
1     36225               0.08
15   139985               0.04
12   109373               0.04
11   109372               0.04
10   109371               0.04
9   1494587               0.04
8   1494584               0.04
6     37033               0.04
4     37030               0.04
0       768               0.04
       Node  Closeness Centrality
19      618                 0.309
18      617                 0.301
16      615                 0.294
20      619                 0.287
21      620                 0.278
17      616                 0.275
25      624                 0.266
22      621                 0.260
7   1494580                 0.258
23      622                 0.255
5     37031                 0.253
24      623                 0.250
2       661                 0.243
3       662                 0.236
1     36225                 0.236
14      836                 0.234
13      834                 0.216
8   1494584                 0.207
9   1494587                 0.203
6     37033                 0.203
4     37030                 0.203
10   109371                 0.197
15   139985                 0.192
11   109372                 0.192
12   109373                 0.191
0       768                 0.191
       Node  Betweenness Centrality
19      618                   0.450
16      615                   0.322
18      617                   0.317
21      620                   0.302
20      619                   0.297
5     37031                   0.230
25      624                   0.208
3       662                   0.185
14      836                   0.183
2       661                   0.182
17      616                   0.182
22      621                   0.168
24      623                   0.160
23      622                   0.160
7   1494580                   0.148
1     36225                   0.043
13      834                   0.010
15   139985                   0.000
12   109373                   0.000
11   109372                   0.000
10   109371                   0.000
9   1494587                   0.000
8   1494584                   0.000
6     37033                   0.000
4     37030                   0.000
0       768                   0.000
       Node  Katz Centrality
2       661            0.214
3       662            0.213
14      836            0.212
5     37031            0.211
25      624            0.204
21      620            0.204
19      618            0.204
17      616            0.204
20      619            0.203
7   1494580            0.203
16      615            0.203
18      617            0.194
13      834            0.194
1     36225            0.193
22      621            0.193
23      622            0.193
24      623            0.193
12   109373            0.184
15   139985            0.184
11   109372            0.184
10   109371            0.184
9   1494587            0.184
8   1494584            0.184
6     37033            0.184
4     37030            0.184
0       768            0.184
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------
-------------------- Graph 29 --------------------
---------- Graph Stats  ----------
Nodes : 15 Edges : 15
Diameter : 8
Periphery : [12654, 12655, 631, 12794, 12604, 639]
Density of the graph: 0.13333333333333333
Average degree: 1.8666666666666667
Size of the largest connected component: 15
Degree assortativity coefficient: -0.3162393162393155
     Node  Degree Centrality
1     648              0.214
2   12653              0.214
5     625              0.214
9     629              0.214
0   12608              0.143
6     626              0.143
7     627              0.143
8     628              0.143
10    630              0.143
3   12654              0.071
4   12655              0.071
11    631              0.071
12  12794              0.071
13  12604              0.071
14    639              0.071
     Node  Closeness Centrality
6     626                 0.341
5     625                 0.333
7     627                 0.333
8     628                 0.311
9     629                 0.280
1     648                 0.275
2   12653                 0.275
0   12608                 0.230
10    630                 0.230
3   12654                 0.219
4   12655                 0.219
12  12794                 0.219
14    639                 0.219
11    631                 0.189
13  12604                 0.189
     Node  Betweenness Centrality
5     625                   0.626
6     626                   0.538
7     627                   0.527
8     628                   0.495
9     629                   0.484
1     648                   0.275
2   12653                   0.275
0   12608                   0.143
10    630                   0.143
3   12654                   0.000
4   12655                   0.000
11    631                   0.000
12  12794                   0.000
13  12604                   0.000
14    639                   0.000
     Node  Katz Centrality
5     625            0.274
1     648            0.272
2   12653            0.272
9     629            0.272
6     626            0.260
7     627            0.260
8     628            0.260
0   12608            0.259
10    630            0.259
3   12654            0.247
4   12655            0.247
12  12794            0.247
14    639            0.247
11    631            0.246
13  12604            0.246
Bridges in Graph :  [(386, 36967), (35698, 35405), (35729, 35728), (35709, 35710), (33, 34), (84, 85), (112, 114), (14, 15), (3254, 36971), (19, 20), (3255, 35943), (20, 21), (20, 22), (23, 24), (25, 26), (27, 28), (30, 3247), (3247, 3248), (3247, 3249), (3253, 3204), (3253, 35950), (3246, 3252), (3246, 3257), (2203, 2146), (2203, 2204), (35885, 35884), (1645159, 1645156), (1645159, 1648644), (1198, 35895), (1641587, 1641606), (1641355, 1628954), (44, 1542024), (45, 1154), (45, 1538392), (1542024, 1542023), (1542024, 1639781), (46, 27108), (1154, 1153), (1154, 1155), (1538392, 1538362), (1538392, 1538390), (1538392, 1538391), (27108, 27107), (27108, 27250), (27325, 27323), (27325, 27335), (48, 27343), (27343, 27342), (27343, 35887), (27343, 39411), (184, 35886), (35886, 35890), (35886, 35891), (35886, 35892), (4152, 4156), (4120, 4154), (4148, 4149), (3937, 3938), (4114, 4099), (55, 1099), (1068, 1096), (1068, 36235), (76, 1075), (1071, 1098), (1071, 1110), (74, 75), (1075, 1073), (1075, 1076), (59, 60), (59, 61), (339, 36187), (2220, 2221), (338, 36186), (341, 2202), (66, 67), (2155, 2156), (2157, 2158), (2157, 2161), (68, 69), (1052, 2256), (1052, 2258), (72, 73), (1049, 1048), (342, 36185), (89, 90), (452, 41762), (35881, 35739), (6760, 6757), (6805, 6797), (6713, 6711), (6713, 6714), (6713, 6717), (6748, 6747), (6748, 6759), (6764, 6763), (6764, 6766), (6733, 6722), (6738, 6737), (6738, 6765), (120, 170), (122, 36184), (130, 131), (444, 41761), (145, 41763), (6770, 6769), (6793, 6794), (6793, 6798), (388, 141), (389, 390), (147, 167), (148, 168), (166, 36963), (317, 318), (162, 163), (303, 1092), (1057, 1058), (173, 174), (160, 36965), (1056, 1055), (161, 36964), (163, 164), (163, 165), (314, 41764), (434, 42076), (182, 35699), (35695, 35696), (42074, 42073), (42074, 42596), (312, 313), (371, 41755), (42079, 42597), (198, 15697), (7178, 7176), (23401, 24015), (15697, 7332), (15697, 15686), (206, 433), (343, 42082), (235, 41752), (230, 261), (41752, 41753), (41752, 41754), (370, 41758), (41755, 41756), (41755, 41757), (214, 309), (309, 310), (309, 311), (217, 7925), (7923, 7924), (4895, 4896), (4899, 4898), (7926, 7927), (7926, 43222), (7922, 7921), (7931, 7937), (7901, 7881), (7901, 7888), (7918, 7882), (7918, 7887), (4109, 4100), (4110, 4096), (273, 274), (273, 275), (42078, 42077), (245, 246), (276, 277), (288, 36211), (244, 36218), (278, 279), (248, 249), (239, 3271), (3930, 3931), (3295, 4080), (3271, 3272), (3271, 3888), (3889, 3890), (3276, 3275), (3276, 3277), (36218, 36219), (35850, 42588), (35851, 36975), (264, 265), (550, 36210), (265, 266), (36211, 36212), (36211, 36215), (1918, 36987), (269, 42585), (290, 1920), (1919, 36980), (42583, 42584), (280, 35769), (281, 42598), (282, 35773), (35769, 35768), (35769, 35852), (42598, 35841), (42598, 35854), (42598, 42600), (286, 35772), (35768, 35863), (35845, 35844), (287, 35775), (35772, 35771), (35775, 35774), (35775, 42570), (35847, 35848), (293, 35805), (35796, 35797), (35796, 35799), (302, 304), (305, 1103), (1092, 1090), (1092, 1100), (1092, 1143), (1103, 1101), (1103, 1124), (319, 320), (3479, 3482), (3430, 3415), (3430, 3427), (3432, 3369), (3432, 3429), (4173, 4132), (3431, 3416), (3475, 3476), (3480, 3424), (4181, 4182), (36979, 36986), (328, 40094), (329, 11435), (330, 12041), (11435, 11433), (11435, 11434), (12041, 12022), (12041, 12058), (11433, 12176), (332, 35734), (35734, 35731), (35734, 35735), (337, 12138), (336, 12176), (12138, 12032), (12138, 12033), (12176, 12175), (12176, 12202), (42082, 42081), (42082, 42594), (42082, 42595), (3290, 3293), (3285, 3284), (3285, 3286), (3339, 3340), (3339, 3347), (3339, 36261), (3319, 3314), (362, 41760), (363, 41759), (364, 365), (376, 16472), (377, 12226), (377, 12227), (378, 12230), (378, 12247), (16472, 1176), (16472, 37523), (12226, 12225), (12226, 16399), (12227, 12228), (12227, 12229), (12230, 12231), (12247, 12248), (12247, 37522), (42094, 42329), (398, 3261), (3263, 3264), (3263, 21184), (3261, 3262), (3261, 20839), (20849, 20848), (41945, 41944), (41945, 42092), (401, 41613), (592, 2661), (41613, 2625), (41613, 42211), (450, 451), (591, 2652), (2661, 2660), (2661, 2671), (40748, 42208), (411, 36193), (472, 473), (36193, 35717), (6024, 6048), (6025, 6049), (6300, 6302), (5636, 5638), (412, 683), (413, 755), (683, 677), (683, 699), (755, 756), (755, 758), (755, 7793), (7795, 7792), (682, 681), (7794, 7787), (416, 1025), (1024, 1023), (7757, 7755), (427, 35747), (35747, 35748), (35747, 35749), (35747, 42058), (42052, 42053), (42052, 42054), (428, 7190), (428, 40005), (429, 40022), (7190, 611), (7190, 7156), (40005, 40006), (431, 5925), (12629, 6855), (40022, 40015), (40022, 40017), (40022, 40023), (5927, 5928), (5927, 5929), (5970, 7130), (611, 7188), (5925, 5926), (5926, 482), (5926, 5805), (437, 33468), (23898, 40853), (438, 15713), (33468, 33467), (33468, 33469), (33468, 39690), (20655, 39962), (23896, 39978), (15713, 15712), (15713, 15714), (15713, 40848), (447, 2647), (2648, 2649), (2647, 2646), (2647, 2934), (2647, 2938), (2652, 2575), (2652, 2653), (2652, 2935), (21970, 20869), (20812, 20772), (20812, 20803), (464, 5314), (20571, 20572), (20571, 20725), (465, 40105), (5314, 5312), (5314, 42134), (5315, 5313), (20718, 20716), (20718, 20723), (25505, 20534), (25505, 20556), (40105, 40104), (40105, 40110), (41916, 41917), (475, 1594983), (1594983, 1594984), (1594983, 1610675), (478, 35803), (36977, 1594985), (35803, 35800), (35803, 35809), (35803, 35818), (507, 21548), (21548, 21549), (21548, 24014), (4074, 5937), (487, 488), (5809, 5943), (5951, 5948), (4077, 5954), (7131, 7152), (7154, 7153), (7154, 7161), (7154, 7206), (7145, 7146), (7145, 7207), (7141, 7144), (6685, 6699), (6681, 6682), (6684, 6963), (6696, 6953), (6604, 6606), (6683, 6893), (514, 5892), (1119, 5890), (1119, 5896), (1120, 5902), (5883, 5882), (5883, 5893), (5884, 5862), (5894, 5854), (5894, 5864), (8146, 8137), (8154, 8156), (8155, 8157), (8145, 8124), (8145, 8148), (8153, 8151), (521, 522), (521, 36982), (521, 36992), (36982, 36983), (36992, 36991), (36992, 36993), (524, 36201), (36201, 36200), (36201, 36202), (1166, 1167), (5418, 5368), (5444, 5445), (5444, 5448), (5421, 5391), (5421, 5420), (5433, 5431), (5433, 5436), (5438, 5437), (5438, 7984), (5423, 5367), (5443, 5447), (36985, 36984), (1603443, 1607299), (1603442, 1607298), (1594982, 1593601), (4371, 4476), (4371, 4487), (4373, 4485), (4481, 4480), (4481, 4484), (551, 559), (553, 36197), (554, 1189), (36197, 36196), (36197, 36207), (557, 561), (1189, 1187), (1189, 1190), (561, 568), (568, 573), (2023, 37015), (37003, 37005), (573, 577), (563, 37017), (567, 37020), (564, 37016), (37017, 37018), (37017, 37019), (569, 579), (579, 578), (577, 575), (578, 589), (570, 571), (570, 572), (571, 589), (572, 574), (574, 580), (580, 587), (575, 576), (587, 590), (576, 588), (588, 590), (583, 22098), (22099, 21926), (22098, 21927), (22098, 22151), (585, 22105), (944, 31944), (22105, 17398), (22105, 22106), (593, 596), (594, 36021), (595, 36020), (36020, 36017), (36020, 36022), (597, 6851), (599, 6859), (6851, 6007), (6851, 7261), (7251, 7250), (7066, 7068), (7066, 7351), (6859, 6858), (6859, 7067), (3470, 3473), (3484, 3478), (3484, 3497), (3498, 3504), (664, 3439), (664, 3451), (3452, 3453), (606, 41826), (676, 695), (36183, 36182), (36183, 36190), (41826, 41825), (41826, 41892), (675, 692), (673, 674), (609, 40021), (610, 6013), (40021, 40020), (6013, 6012), (6013, 6014), (40010, 40009), (612, 40004), (7188, 7189), (7188, 7192), (1494580, 1494584), (661, 109371), (618, 37031), (662, 109372), (662, 139985), (37031, 37030), (37031, 37033), (37031, 1494587), (836, 768), (836, 109373), (625, 626), (625, 648), (625, 12653), (626, 627), (648, 639), (648, 12794), (12653, 12654), (12653, 12655), (627, 628), (628, 629), (629, 630), (629, 12608), (630, 631), (12608, 12604)]
--------------------------------------------------

Graph Centralities¶

In [31]:
print(f"Largest connected component :  {max(nx.connected_components(G), key=len)}") 
Largest connected component :  {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 2146, 36963, 36964, 36966, 36967, 104, 105, 106, 36971, 108, 109, 110, 111, 112, 113, 114, 107, 36974, 36975, 116, 119, 118, 117, 115, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 36992, 36993, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 2203, 2204, 2202, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 2220, 175, 176, 177, 178, 179, 180, 181, 182, 183, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 2256, 2258, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 327, 331, 332, 333, 338, 339, 340, 341, 342, 343, 344, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 404, 405, 410, 411, 419, 420, 422, 423, 424, 425, 426, 427, 432, 433, 434, 435, 440, 441, 442, 443, 444, 452, 453, 454, 455, 460, 461, 462, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 521, 522, 523, 524, 525, 526, 536, 537, 538, 539, 540, 541, 542, 543, 548, 549, 550, 37415, 35405, 2155, 120, 2156, 121, 2157, 122, 2158, 2161, 37498, 156, 157, 41752, 41753, 41754, 41755, 41756, 41757, 41758, 41759, 41760, 41761, 41762, 41763, 41764, 174, 35695, 35696, 35698, 35699, 35703, 35709, 35710, 35717, 35728, 35729, 35731, 35734, 35735, 35739, 2219, 35746, 35747, 35748, 35749, 2221, 1610675, 35768, 35769, 35770, 35771, 35772, 35773, 35774, 35775, 35795, 35796, 35797, 35799, 35800, 35803, 35805, 35809, 35818, 35841, 35844, 35845, 35846, 35847, 35848, 35850, 35851, 35852, 35854, 35863, 1048, 1049, 1050, 1052, 1055, 1056, 1057, 1058, 35881, 1068, 1069, 1070, 1071, 1072, 1073, 1075, 1076, 2251, 1089, 1090, 2252, 42052, 42053, 42054, 1092, 1093, 1096, 42058, 1099, 1100, 1101, 2254, 1103, 1098, 42066, 42067, 1110, 42073, 42074, 42076, 42077, 42078, 42079, 1116, 42081, 42082, 1124, 35943, 35950, 1143, 3204, 1156, 1158, 1159, 1157, 1165, 1166, 1167, 3246, 3247, 3248, 3249, 3252, 3253, 3254, 3255, 3257, 36178, 36184, 36185, 36186, 36187, 36193, 36200, 36201, 36202, 36210, 36211, 36212, 36215, 36218, 36219, 36235, 42570, 42582, 42583, 42584, 42585, 42586, 42587, 42588, 42594, 42595, 42596, 42597, 42598, 1594983, 42600, 1594982, 1594984, 1594985, 36965, 1607298, 1607299, 32419, 36976, 36977, 36978, 36979, 36980, 36981, 36982, 36983, 36984, 36985, 36986, 36987, 36991, 1603442, 1603443, 1918, 1919, 1920, 158, 1593601}
In [49]:
nx.diameter(G) # NetworkXError: Found infinite path length because the graph is not connected 

# Refer graph statistics for diameter details
In [48]:
# Density
density = nx.density(graph)
print(f"Density of the graph: {density}")


# Max and Min degree
degrees = dict(graph.degree())
max_degree = max(degrees.values())
min_degree = min(degrees.values())


# Average degree 
avg_degree = (2 * num_edges) / num_nodes
print(f"Average degree: {avg_degree}")

# Number of connected components

connected_components = list(nx.connected_components(graph)) 
largest_component_size = max(len(c) for c in connected_components) # Find the size of the largest connected component
print(f"Size of the largest connected component: {largest_component_size}")

# Degree assortativity
assortativity = nx.degree_assortativity_coefficient(graph)
print(f"Degree assortativity coefficient: {assortativity}")
Density of the graph: 0.13333333333333333
Average degree: 1.8666666666666667
Size of the largest connected component: 15
Degree assortativity coefficient: -0.3162393162393155

Clustering Coefficient¶

In [8]:
print(nx.clustering(G))
Clustering_coeff=nx.clustering(G)
res = {key : round(Clustering_coeff[key], 3) for key in Clustering_coeff}
df=pd.DataFrame(res.items(), columns=["Node", "Clustering_coeff"])
print(df.sort_values('Clustering_coeff',ascending=False))
df.to_csv('Clustering_coeff.csv')
{0: 0, 1: 0, 2: 0, 469: 0, 6: 0, 385: 0, 3: 0, 380: 0, 37415: 0, 5: 0.3333333333333333, 384: 0, 386: 0, 4: 0.16666666666666666, 419: 0, 422: 0, 98: 0.16666666666666666, 420: 0, 35698: 0, 183: 0, 423: 0, 470: 0, 35729: 0, 35709: 0, 7: 0, 8: 0, 9: 0.3333333333333333, 79: 0, 33: 0, 10: 0.3333333333333333, 84: 0.16666666666666666, 78: 0, 119: 0, 32: 0, 34: 0, 11: 0.3333333333333333, 110: 0.3333333333333333, 83: 0, 85: 0, 12: 0.16666666666666666, 111: 0.3333333333333333, 112: 0.16666666666666666, 13: 0.16666666666666666, 95: 0.3333333333333333, 108: 0.16666666666666666, 14: 0, 94: 0, 109: 0.3333333333333333, 113: 0.3333333333333333, 123: 0, 96: 0, 15: 0, 16: 0, 77: 0, 93: 0, 17: 0.16666666666666666, 18: 0.3333333333333333, 3254: 0.16666666666666666, 19: 0, 3255: 0, 36971: 0, 20: 0, 23: 0, 21: 0, 22: 0, 24: 0, 25: 0, 26: 0, 27: 0, 28: 0, 29: 0, 30: 0, 31: 0, 3247: 0, 3253: 0, 35943: 0, 3246: 0, 3248: 0, 3249: 0, 3204: 0, 35950: 0, 2203: 0, 3252: 0, 3257: 0, 2146: 0, 2204: 0, 35: 0, 36: 0, 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      Character  Clustering_coeff
277        6772               1.0
795         393               1.0
170        1116               1.0
416         368               1.0
1068       7166               1.0
...         ...               ...
543         278               0.0
542         277               0.0
541         275               0.0
540         274               0.0
1410      12607               0.0

[1411 rows x 2 columns]
In [ ]:
 
In [36]:
#Degree plot for undirected and unweighted graph
degrees = [G.degree(n) for n in G.nodes()]

plt.hist(degrees)
Out[36]:
(array([441.,   0., 164.,   0., 486.,   0., 299.,   0.,  17.,   3.]),
 array([1. , 1.5, 2. , 2.5, 3. , 3.5, 4. , 4.5, 5. , 5.5, 6. ]),
 <BarContainer object of 10 artists>)
In [75]:
deg_centrality=nx.degree_centrality(G)
res = {key : round(deg_centrality[key], 3) for key in deg_centrality}
df=pd.DataFrame(res.items(), columns=["Node", "Degree Centrality"])
print(df.sort_values('Degree Centrality',ascending=False))
df.to_csv('Degree_Centrality.csv')
     Character  Degree Centrality
39         125              0.009
356        745              0.009
96         205              0.007
34         120              0.007
394        795              0.007
..         ...                ...
322        617              0.002
321        616              0.002
141        268              0.002
319        611              0.002
375        753              0.002

[546 rows x 2 columns]
In [76]:
Closeness_centrality=nx.closeness_centrality(G)
res = {key : round(Closeness_centrality[key], 3) for key in Closeness_centrality}
df=pd.DataFrame(res.items(), columns=["Node", "Closeness Centrality"])
print(df.sort_values('Closeness Centrality',ascending=False))
df.to_csv('Closeness_Centrality.csv')
     Character  Closeness Centrality
97         204                 0.020
337        639                 0.020
96         205                 0.020
348        657                 0.020
336        640                 0.019
..         ...                   ...
305        596                 0.002
318        609                 0.002
319        611                 0.002
321        616                 0.002
117        221                 0.002

[546 rows x 2 columns]
In [77]:
Betweenness_centrality=nx.betweenness_centrality(G)
res = {key : round(Betweenness_centrality[key], 3) for key in Betweenness_centrality}
df=pd.DataFrame(res.items(), columns=["Node", "Betweenness Centrality"])
print(df.sort_values('Betweenness Centrality',ascending=False))
df.to_csv('Betweenness_Centrality.csv')
     Character  Betweenness Centrality
90         375                   0.020
348        657                   0.019
96         205                   0.018
97         204                   0.018
336        640                   0.018
..         ...                     ...
224        756                   0.000
223        413                   0.000
222        755                   0.000
221        472                   0.000
273        541                   0.000

[546 rows x 2 columns]
In [79]:
Katz_centrality=nx.katz_centrality(G,alpha=0.05, beta=1.0, max_iter=1000, tol=1e-02, nstart=None, normalized=True, weight=None)
res = {key : round(Katz_centrality[key], 3) for key in Katz_centrality}
df=pd.DataFrame(res.items(), columns=["Node", "Katz Centrality"])
print(df.sort_values('Katz Centrality',ascending=False))
df.to_csv('Katz_Centrality.csv')
     Character  Katz Centrality
356        745            0.050
39         125            0.050
34         120            0.048
185        345            0.048
353        800            0.048
..         ...              ...
154        284            0.041
332        631            0.041
156        292            0.041
157        293            0.041
121        259            0.041

[546 rows x 2 columns]

Observations¶

When representing a network of roads as a graph, nodes typically correspond to intersections, and edges represent roads connecting them. This is a classic example of a spatial network, and analyzing how such a network clusters can reveal important insights about urban planning, traffic flow, and infrastructure efficiency. In graph theory terms, clustering refers to how densely nodes are connected within a local neighborhood.

Here’s how clustering works in a road network and some key observations that can be made:

1. Clustering Coefficient in Road Networks:¶

The clustering coefficient is a measure of how likely it is that two neighbors of a given node are also neighbors of each other. In a road network:

  • Local clustering coefficient of a node (intersection) tells you how often the neighbors (other nearby intersections) form triangles with that node. For example, if roads connect in a loop (or triangle), the clustering coefficient will be higher.
  • Global clustering coefficient is the average of all the local clustering coefficients in the network.

In many real-world road networks, the clustering coefficient tends to be lower than in social networks but higher in more densely populated urban areas due to grid-like structures and complex intersection layouts.

2. Characteristics of Clustering in Road Networks:¶

  • Sparse clustering: In rural or highway networks, clustering is often sparse. Most intersections (nodes) connect to few neighbors, and there are fewer loops (triangles). Highways, for example, tend to be long, linear paths with little clustering.

  • Grid-like patterns: In urban areas, road networks often form a grid structure, which tends to increase local clustering around intersections. Intersections in city grids (like in New York City) may have relatively high clustering because roads often connect in closed loops.

  • Hierarchical Clustering: In road networks, larger roads (like highways) form a skeleton or backbone with low clustering, while smaller, local streets exhibit more clustering as they connect within neighborhoods. This results in a hierarchical structure, where central nodes (e.g., intersections at major roads) have lower clustering and peripheral nodes (e.g., neighborhood roads) have higher clustering.

3. Observations on Road Network Clustering:¶

  • Urban Planning: High clustering in urban areas can indicate a well-connected local road network, facilitating efficient intra-neighborhood movement but potentially creating traffic congestion at bottlenecks. Urban planners can use this information to identify and alleviate choke points.

  • Traffic Flow: High clustering can also influence traffic dynamics. In areas with many loops and connections (high clustering), there may be more opportunities for detours and alternate routes, potentially easing traffic congestion in the event of road closures.

  • Road Vulnerability and Robustness: Low clustering in highway networks makes them vulnerable to disconnection. A single broken link (e.g., a closed bridge) can cut off significant portions of the network. Highly clustered areas may be more robust since there are alternative routes available through neighboring intersections.

  • Road Hierarchy: In many cities, road networks are hierarchical, with major roads forming a backbone and minor roads forming clustered regions around this backbone. The clustering coefficient can be used to identify such hierarchies and design more effective traffic systems.

  • Scale-Free Nature: Some road networks exhibit scale-free properties, meaning a few intersections (hubs) have many connections, while most intersections have few connections. Hubs in such networks tend to have lower clustering, but their removal could cause severe disruptions, highlighting the importance of these nodes.

4. Community Detection in Road Networks:¶

Another form of clustering is community detection, where groups of intersections and roads naturally form sub-networks with many internal connections but fewer connections to other parts of the graph. This is useful for:

  • Identifying neighborhoods or districts in cities, where roads tend to cluster within the community.
  • Detecting bottlenecks or bridges between different regions (e.g., roads that connect two highly clustered neighborhoods).

Summary of Observations in Road Network Clustering:¶

  1. High clustering in local neighborhoods (e.g., residential areas) and low clustering in main roads or highways.
  2. Urban grids lead to higher clustering, especially at intersections where multiple roads meet. These components are strongly connected.
  3. Hierarchical structures often emerge, with central roads having low clustering and peripheral roads showing more clustering.
  4. Traffic bottlenecks can be detected by finding intersections with low clustering but high connectivity.

Observations in Road Network Clustering:¶

  1. High clustering in local neighborhoods (e.g., residential areas) and low clustering in main roads or highways.
  2. Urban grids lead to higher clustering, especially at intersections where multiple roads meet. These components are strongly connected.
  3. Hierarchical structures often emerge, with central roads having low clustering and peripheral roads showing more clustering.
  4. Traffic bottlenecks can be detected by finding intersections with low clustering but high connectivity.